Maths-
General
Easy
Question
Hint:
The correct answer is: ![i s i n invisible function application x](data:image/png;base64,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)
We should find the value in sinh(ix)
sinhx=(ex−e−x)/2 [identity]
∴sinh(ix)=(eix-e-ix)/2
=2(cosx+isinx)−(cosx−isinx)
sinh(ix)=isinx[eix=cosx+isinx,e−ix=cosx−isinx]
∴sinh(ix)=(eix-e-ix)/2
Hence answer is isinx
Related Questions to study
physics-
A block attached to a spring, pulled by a constant horizontal force, is kept on a smooth surface as shown in the figure. Initially, the spring is in the natural state. Then the maximum positive work that the applied force F can do is : [Given that spring does not break]
![](data:image/png;base64,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)
A block attached to a spring, pulled by a constant horizontal force, is kept on a smooth surface as shown in the figure. Initially, the spring is in the natural state. Then the maximum positive work that the applied force F can do is : [Given that spring does not break]
![](data:image/png;base64,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)
physics-General
physics-
The given plot shows the variation, the potential energy (U) of interaction between two particles with the separating distance (r) between them. Which of the above statements are correct?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492686/1/962814/Picture180.png)
1) B and D are equilibrium points
2) C is a point of stable equilibrium points
3) The force of interaction between the two particles is attractive between points C and D and repulsive between points D and E on the curve
The given plot shows the variation, the potential energy (U) of interaction between two particles with the separating distance (r) between them. Which of the above statements are correct?
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492686/1/962814/Picture180.png)
1) B and D are equilibrium points
2) C is a point of stable equilibrium points
3) The force of interaction between the two particles is attractive between points C and D and repulsive between points D and E on the curve
physics-General
physics-
In the figure shown the potential energy (U) of a particle is plotted against its position 'x' from origin. Then which of the following statement is correct. A particle at :
![](data:image/png;base64,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)
In the figure shown the potential energy (U) of a particle is plotted against its position 'x' from origin. Then which of the following statement is correct. A particle at :
![](data:image/png;base64,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)
physics-General
physics-
Velocity–time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all the forces on the particle is :
![](data:image/png;base64,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)
Velocity–time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all the forces on the particle is :
![](data:image/png;base64,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)
physics-General
physics-
The work done in moving a particle under the effect of a conservative force, from position A to B is 3 joule and from B to C is 4 joule. The work done in moving the particle from A to C is :
![](data:image/png;base64,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)
The work done in moving a particle under the effect of a conservative force, from position A to B is 3 joule and from B to C is 4 joule. The work done in moving the particle from A to C is :
![](data:image/png;base64,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)
physics-General
physics-
A spring block system is placed on a rough horizontal surface having coefficient of friction
. The spring is given initial elongation
and the block is released from rest. For the subsequent motion
![](data:image/png;base64,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)
A spring block system is placed on a rough horizontal surface having coefficient of friction
. The spring is given initial elongation
and the block is released from rest. For the subsequent motion
![](data:image/png;base64,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)
physics-General
physics-
A particle of mass m = 1 kg is moving along y-axis and a single conservative force F(y) acts on it. The potential energy of particle is given by
where is in meters. At
the particle has kinetic energy of 15
. The total mechanical energy of the particle is
A particle of mass m = 1 kg is moving along y-axis and a single conservative force F(y) acts on it. The potential energy of particle is given by
where is in meters. At
the particle has kinetic energy of 15
. The total mechanical energy of the particle is
physics-General
physics-
The kinetic energy of a particle continuously increase with time. Then
The kinetic energy of a particle continuously increase with time. Then
physics-General
physics-
A particle moves in one dimensional field with total mechanical energy E. If potential energy of particle is
, then
A particle moves in one dimensional field with total mechanical energy E. If potential energy of particle is
, then
physics-General
physics-
A body of mass m is slowly halved up the rough hill by a force
at which each point is directed along a tangent to the hill. Work done by the force
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)
A body of mass m is slowly halved up the rough hill by a force
at which each point is directed along a tangent to the hill. Work done by the force
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)
physics-General
physics-
Simple pendulum
and
have lengths
= 80 cm and
= 100 cm. The bob are of masses
and
. Initially both are at rest in equilibrium position. If each of the bobs is given a displacement of 2cm, the work done is
respectively. Then,
Simple pendulum
and
have lengths
= 80 cm and
= 100 cm. The bob are of masses
and
. Initially both are at rest in equilibrium position. If each of the bobs is given a displacement of 2cm, the work done is
respectively. Then,
physics-General
physics-
The upper half of an inclined plane with inclination q is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by
The upper half of an inclined plane with inclination q is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by
physics-General
physics-
A particle is projected along the inner surface of a smooth vertical circle of radius R, its velocity at the lowest point being
It will leave the circle at an angular distance .... from the highest point.
A particle is projected along the inner surface of a smooth vertical circle of radius R, its velocity at the lowest point being
It will leave the circle at an angular distance .... from the highest point.
physics-General
physics-
The potential energy for the force
if the zero of the potential energy is to be chosen at the point (2, 2, 2) is
The potential energy for the force
if the zero of the potential energy is to be chosen at the point (2, 2, 2) is
physics-General
physics-
Consider a roller coaster with a circular loop. A roller coaster car starts from rest from the top of a hill which is 5 m higher than the top of the loop. It rolls down the hill and through the loop. What must the radius of the loop be so that the passengers of the car will feel at highest point, as if they their normal weight ?
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)
Consider a roller coaster with a circular loop. A roller coaster car starts from rest from the top of a hill which is 5 m higher than the top of the loop. It rolls down the hill and through the loop. What must the radius of the loop be so that the passengers of the car will feel at highest point, as if they their normal weight ?
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O+AQyNPsPU3DzmFxaxODeFyWfPMTll9s9OY4Z2J1/MYNbcX9NiGGEKM0bt9KXFR4YWMGgvLSLsMLw93cR0zcyMip5i36x4DG8Tdo42peARLoymYcgzp04iwNdHFktzSoui2Ct88P/2V39nl2tobWxawbNBkYs/dwZB/n44ffKEWKa1RysRiv1CdwFdXV24dCEe/+d//Q+xwkzDt4MDg9Yj7IdNL3iExgxphsrb011MUdEyra7JVewFWn2OiozA7377a/z7n/9bbPnyCxyJCBNrzvaGXQgeYauOpsWPmoLe+oevkHz5sljtXVxctB6hKJuTJlPvXZz24d99zzwUZzLQerm9YTeCR2g2mjb3L8afx9YtXyEm6igePeJiGEXZvHD2Aruz/+2//AX++F/8U/zlX/xHXE64JLYo7Q27EjwbHNOgZyWuzjgQEigOXHS+nrKZoXMiDzdn/Ief/yncXfbLGJ49YpeCR7juNi3lCvY77kVIYADoTk5fZigrgT0GOr+h1zN+00ENvYpxfJgvy+hhjVOk6CWOnvhoxJb/+80+Hs/9tm10iyjnjvLcJ2LDjk6H6BWP3/zP7bwGw6PjJIbB33RWxfDpNIfOcngcz6ODIZ7HcOkjmjMVtnz5Oa4kXRYfF4yn7DPnMjx6KmNjwHY8r0UHUwyD1+FSTnp9435em8fyPJ5PB0sSX6bbHM908Bwa9uA384PbeA7jx3TzeHooo/MnXodx5jW4iGDN/NJav+2S+fl5FBcXwtXJEd40QFCQL56bFGU50OcKDVhEhh3Gpfh4cRlJN6Ktra1W/74W/610QVhUWCAuCelilC406WqSlr3pxpDb6M6ArlJp8oz2HumutK6uFpVmG91E8r/4tjW9EV6D3wyXvyV8U3fpPpLn0BlWVcUdmX4i4Zq48BhaGaLv3Fs3b4qPZHoLpBtHulrk3DzGiW5E+ZKD8aUbVLpn5Pw9nk+jodxeac6xXbupoV7OpztOhse08Xi6jKSPYKap+p7FDWtzc5OEzXyy+c7lubwu/9PfL8fZKaBrZf3IrgWPzM/NyXw9mprau+s7cSlJ23uK8lOwnsRGR+FX/+9vseX3n4t1bvqRpe9dig9vYvqTsPjMtfhypU9h+nrlMbzR21os2+h3lsLHlUEURosv3jbZRufW4pe29r64QqWLVPk24sDfEr4RHJu7VIuw1qG7u/NVuDyOLynoo5Z+eSk2jBu3iS9nEx7jRCG1iSqPpb/jGhMGr8WpLdzO8HhNWzxE+Mx/hse08ZpMB/fbjmXcuY1hc3+LCZd+aimK9MfM/4wT/faytbhWvS27FzyyYFp6rHTRRyOxY9u3OBl3XCwtK8q7YLeLrRG2XuhqdPfOHeJ8/nr6NekSsgXIlgpfDtA3LL/po5XDKfS9Sh+4r7dNynYez2/b8XRgZTnf4ueWx9rC5Tc/DEv8uZp9tmNtxzCcKfFJYTmOHsx4XR4j4VvPlXia37YwLdus4U2+Do/bLXGyHCdx5zbz+wfxtMXPGpfvb7Olmx+Jt+1c881j6Cd3rWZPqOB9D3pDP3v6pBgg4LI0PoH0ZYayHGioIj8vT3wuRx89Ii4JMozwccxKWT+o4L0BB1CvJCfBeZ8jDoYGy9ObTyRFWQ58UXA7L1fMlQUF+EmvIetmpnmYdq/ZQLyyfFTwloDNbg4Su+7fB093V+Rm38Kz8XHrXkX5aSYmnsvqHk7wpZ1GtvqK8vPljafy6VDBewscR2hvbzdPaV+Zr5eelirjDYqyXDjwzikrfBHmvM8BW//wtYwPc+iEY1o6XPLxUcF7B4uLL8W+XmR4GHbt2I7EhEsqesqKoWc9vn3MunFDZgOwxZeclKjje58AFbxlwNfpXIbmsHunLNHhOI2irBS26jgNg93bPTt3wM/bS+alvXyp67k/Fip4y6S3pwfHoqNkrh5F78mTPuseRVkZfabunDt7WsaIgwP8kHk9Q6axKGuPCt4K4JKZuOOxpnu7FadOcCymEwsL69llibJemZ+fkwm3R8IPw8lhj9hq5ORdjh0ra4cK3grhWkVWzm1/2IIDIUFobW2RyqsoK4WTa8fGRpFxLc3SxfX1ktUXnISrrA0qeO/B8NAwUpKT4LBrJ/x8vGSNoc6xUt4XLlGjJe642Bhp7XGlxuSEvhxbC1Tw3hNamrhxPUOsKIcGB8qaQkX5ELi8kdNWXPbvk2+OGyuriwreB8AVGLT24O/rjaPhYbJAWlt6yodAM0p8Kebj5YHjsbGmi1ut43qriAreB8LF07QW4ebshOAAfzGTwwXQivK+0IIPTTz5eXsiyM8P5WVlMqVF+XBU8FYBzqinOSB3F2eZasDxGH0qKx8CewqsUz6e7nBy3IviwkKtU6uACt4qwcpYbYTO1zyVnRx2iyFGGhhVlPeFdYr26linvNzdUFpcZN2jvC8qeKsIBY7Ojr09PcRvAA0xqlc05UPgelsazPRwc4Gvl4cIoNap90cFb5XhU/lOWRmcnRzg7+MtJrTndXKy8oHcvp0rwyWhQYHo7upSwwPviQreGsCXFvQZsG/PbhE9rpdUB0HKh8DJ7dfSUvDtlq9kiSOd5SgrRwVvjaDA1dbUyNtb1/1O4vRERU/5EOjZ6/TJOPzqF3+D9FSaK5uw7lGWiwreGjI3NyvjL4G+PnDau0dbesoHw8nJQf6++G7rNyguKrRuVZaLCt4aw+kFnKcX5O8HZ0cH9X+rfBB8MUbXjjRKGxUZgZ7ubuseZTmo4H0EFhYXTUuvBt4e7vByczVP5gLMzOrkZOX94MRkOgziVJXzZ89gakonJS8XFbyPBJ/M9NPp6uxkKqqrOCvWFRnK+0LRizoSIT4z7lZWYFGXNC4LFbyPCEWPllU83VzEFSQ9rWv3Vnlf+CLM18sTgf6+aoV7majgfWTo9Luhrg6Bfr5iXqriTrm29JT3gvXm3JlT+Obr36OivEwfnstABe8TwJnyNPRIv6Wcq1dWUoJZFT3lPbC08jxwMCQYT9XtwE+igveJoOjV3be8yPB0dUVRYYG29JQVw7l4V5OT8cU//Bb1dbXWrcrbUMH7hHDKSktzE9yd91sXhxereW9lxVRVVeKrL/5RHH/PzGj9eRcqeJ8Yil5rS4tp5blgv6MDKiv0RYayMujzNjQ4CMdjo8WlqPJ2VPDWAXx721BfJ5OTOaGU63C1e6ssl9HRUVxLTZG6w6ER5e2o4K0TOKZ3v7oaIYEB4silrLRURU9ZFqw7TY0N+PwffoPky4nWrcpSqOCtI17yRUbtffh6esiKjKICfZGhLI+hwUHs2rENJ44fw9jYmHWr8iYqeOsMy5heMzxcneHtoS8ylOVBV48njsci4vAhVN+tsm5V3kQFbx2ysLiAtrZWeBnBc95HgwM6qVR5N7OzMygrLUGArzeSEhOsW5U3UcFbp7ClR3PewQF+cNyzS1ZkTGlLT3kLtIA8PDQkrgUOhgarReS3oIK3jpEXGTXVYtbbcfcu3M7Lla6LoiwFH5I+Xp7w9/XB9PSUdavyfVTw1jmL5kldX1cHH08P7HPYjbSUq/IkV5SliAw/jOBAfzx9+kRbeUuggrcBYEuvrbVFnLjQ0m3KlWSMjAxb9yrKa+LPnpF1tRwOYYtP+SEqeBuEhQWKXivcXZ3xzddfIvXqFTUJpPyI9LRUhB86IObf52bVcfebqOBtIPjEbjBPbj8fL3z1xe+M6JmW3rC29JTX5Ny6Zbq1YfKtczh/jAreBmNx8aU4+A7w88HXRvSuJidhSMf0FCt5uTk4EhGGWzdvqOAtgQreBoSD0Q0NdTJPb/s3W5B+LQ0vJietexV7pqS4yAheONJSruiE9SVQwdug8EUGV2RY/N7uQ35uroqeIksTY44eEUvIL16oc583UcHbwHBMr729TaasOOzZibycbEyq6Nk1He3tiIuNRmzUUa0LS6CCt8Gh6LW2tuBQaDB2bd+Km5mZeP7smXWvYm/QHl5cbAxioo6o4C2BCt4mgd1bOmbe57BHBqyfP9MVGfaICt67UcHbRPT0dIvV25BAf3lbN6HL0OyOrs5OEbzoo5EqeEuggrfJ4AqM82dPS2uvpKhQu7d2RltLC47FRCHuWIy+xFoCFbxNCFt2nHF/NDIc2VlZeDY+bt2jbHboHoAPu8SLFzE9pQYE3kQFb5MyPjaGjPRrCPD1weWESxgcHLTuUTYztKhzJDxMXl7pxOMfo4K3iaFVFa655Ty9k3HH8ejRI+seZbNy9UoyDh8MRXl5KebmdC3tm6jgbXJGR4aRcDFePFpxbIeD2srm5ezpUzgQEoTmpkYsqrWUH6GCZwfQaOilC+ex+7vtMgu/t6fHukfZbByNCEdwgD/6Hj/mGkTrVsWGCp6dMDkxIXb09uzcgQPBQXhoRI/L05TNAyeh+9HisY83Jid1WdlSqODZEc/GnyH9Wqp0b0NMK6DjQbtaxd0ksBwH+vvh6eaKiMMH9WH2FlTw7AxOUcm6kQnnfY4I9PMV+3rKxofGPu9WVYrXMo7ZKkujgmeHcEJqdnYWXJ33IcDPGxXl5WJRWdm4cFXF5YSLCDsYiuLCAutW5U1U8OyUudlZFJkbg46BPN1cUFZSghcvdGb+RmVsbAz+Pl5iJaWnu9u6VXkTFTw7hs69aT+NJuO/2/atTFp9pkvRNiR8K0uz/+fOnNb5d+9ABc/OmZubR0tzE6KORGDXjm0yvjf+TJeibSRmZqbF0vHnn/0GaSkp1q3KUqjgKTJfq7urE6dPnpBVGddSU6SLpGwMHpvWXYzpyvp5e6Km+p51q7IUKnjKKwYG+hF/7qw4CEpOuownT/qse5T1zN3KSny75UtcSU5S150/gQqe8gPoByHh0kV4ubsh/vxZ9Pb26Fy9dczU1JSsl/7s179EVVWldavyNlTwlB8xNTWN6xnpcHZyRNSRSLS3tWJ+XgfC1yNcM0tjAZxT+ejhQ+tW5W2o4ClLQpt6fGvr5rIf3h5uqKy4I1NZlPUDW94ceti65Svk3MoyDypdTvZTqOApb2XKdG9LS4pxKDQETg67zc2ViHE1Jrpu6Oh4gNCgQDjvc7AYC1B+EhU85Z28fLmIxoY6WZ/p5LAHZ06dNF2nXute5VPCOXdcF309/ZrMqVR+GhU8ZVnQYvLpk3HY8e03OHH8GNraWsU6h/LxYVf28aNH2O+wF17uLhhSa9bLRgVPWR4vId3ZzOvp2Ll9Kw4dCJFVGmpG/OND+4Y09MmubFrqVX2LvgJU8JQVwZcZXIPr4eoib3Fzsm9hZnrauldZaxYXF9DYUI8tv/8cUZHhGBwYsO5RloMKnrJiZmZmce/uXUQcPiRjSKdPxOmN95Ho7u6S1rWvt6eUgbIyVPCU9+ZBWxuOx0SLxRWuxW2or8O8juutGaOjI0hMuIht32xBQf5tTOtwwopRwVM+CC5lSrl6RaythAQGyDQWjjEpq8vs7Ayys25iv8MeWTc7NKQvKt4HFTzlg+FyNE5MdtvvBIfdO5GWmoLhkWEdTF8lmI/37lbBy8MNHq7OePxY3W2+Lyp4yqrAeWCtLS2IPhIpb3Hp/Z435qJaUv4g6JuC+XjoQLBMQaHwLSzqsMH7ooKnrCoPH/bKcie29mhJuTA/H9PTU9a9ykqh6afQ4ECEBAWg4k65TjD+QFTwlFXn+fNnyLl1C94e7nB3cZK3uPJCY37eeoSyHDi5+HhMjAwT5OZkqyeyVUAFT1kTeHO2t7fhUGgwvv795/DxdMft3FwMDw9bj1DeBS2fcBkfhwcy0tN0DfMqoYKnrBkUPVpOzrqZib27vsO2P3yNq8lJ0nLR1t7SMF84LHAy7piY3Gd+jY6MWPcqH4oKnrLm8C1uW2srEi5cgIvTPmn13a+plmVp+ib3NXS+09TYION17i77TTf2FsZGVexWExU85aMxYrqzXJYWfTRSxqX4/aC93brXvllYmBdH2i5OjuJFjvMZ6T9YWV1U8JSPTnNzE45GhsPN2Qnhhw8iMyMdfX32a8+Nk4gzrqWJoVUPq49gfUGxNqjgKZ8EOv0uLixEqOm+cTItTU+VlZaI4yB7MTvFLj1dZMafOyO2BvlWu76uFgsqdmuGCp7yyaCfDC5NKy8tla7cru1bEXcsVlwNcqB+s06wnTfd16GhIem2erm7Yse2b5F46QKe9PVhUdcirykqeMonZ3p6Wqaw0PsW/eJ+8/WXpssbIUZGN9uLDU7Cpnknpu/bLV/hYEiwTChWP8AfBxU8Zd3Am7763l1cjD8vbiJpkIDWWJqaGjdFN5em8c+dPoXdO7aLeaekxAQ8MEKvU3Q+Hip4yrpjYmIChQX5OHQwVGzuUfRo4TcvN2fDmTPny4fOjg7cuJ6BE6a7HuTvhwPBQSgqKFAvY58AFTxl3bIwv4COBw9Mq+i0DOr7eHog+fJllBQXi6GC9eplny8d+p8+RX1trYj0qRNx8PXywNGIMBm3Gx8f0/mHnwgVPGVdwxbS9NSUrM7Iyc5CgJ8Pdm7fZlpKvrh+LQ2N9fXyZpc2+BY+YdeQY40Usv5+I3R1dbhw/qxYg6axzsjww7Jt4vmETC5WPh0qeMqGYXJyUsbBqiorcOniBZnH98U/fob9jg4yHtbe1iqrOjgmRt8Pa9aKMsFSiDmuyGvRoxtfPJw/cxr+Pl6yjI4tuvNnT6O4qBAPe3tV6NYJKnjKhoNTN54+eSLCl56WijOnT+HwwQPw8nCVt7w0p8Q3vrQdx6keqyk2bMn1GgHjnMEEI7rBgf7SkqMprOOxMRKf23k5uF9Tg6emW6vmnNYXKnjKhmdwcAAlxUXyYuPwgRDxxs8VHPSzcSwmGqfijpvW1hmkXElGXk6OCCHXrDY3NcmnhZ/mZsvHuq25qVFEq6ggH2kpV3HxQrxYL6FP3rjYWMREHZFrhAQGilMdzqOrq6uVVqiyflHBUzYVbP3xhUFJcSEuXThvBDBUWn2Oe3bB3dUZwQF+MgeO1kj4MuGkEUP6iIgMO4yIsEOIOXpEBJL7YqOjZCH/fse9+G7rNzJNxs15v5x/LTVFptAMDAyo46INhAqesung2B27sZzQzBYXX2jQ41dnZ6d0RelzI/HSRSQmXDKiGC+tNXZNg4wYRh2JlHmAlxMSpEVIw5t3KytlsvDTp08kLI4TsmvL8Tt927qxUMFT7AaK09TUlBjT5NI1fkZGhk0rrR99fX3yGejvx8iwZd/42JgRzAkZh7OX9b2bHRU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBhU8RVHsBOD/A3a1beXTYqBNAAAAAElFTkSuQmCC)
physics-General