Maths-
General
Easy

Question

S i n h invisible function application left parenthesis i x right parenthesis equals

  1. i s i n invisible function application x    
  2. s i n invisible function application left parenthesis i x right parenthesis    
  3. I s i n invisible function application left parenthesis 3 x right parenthesis    
  4. I s i n invisible function application left parenthesis 2 x right parenthesis    

hintHint:

 

The correct answer is: i s i n invisible function application x


    We should find the value in sinh(ix)

    sinhx=(exex​)/2 [identity]
    sinh(ix)=(eix​-e-ix)/2

    =2(cosx+isinx)(cosxisinx)

    sinh(ix)=isinx[eix=cosx+isinx,eix=cosxisinx]
     

    Hence answer is isinx

    Related Questions to study

    General
    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]

    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]

    physics-General
    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?

    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?

    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
    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 :

    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 :

    physics-General
    parallel
    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 :

    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 :

    physics-General
    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 :

    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 :

    physics-General
    General
    physics-

    A spring block system is placed on a rough horizontal surface having coefficient of friction mu. The spring is given initial elongation fraction numerator 3 mu m g over denominator k end fraction and the block is released from rest. For the subsequent motion

    A spring block system is placed on a rough horizontal surface having coefficient of friction mu. The spring is given initial elongation fraction numerator 3 mu m g over denominator k end fraction and the block is released from rest. For the subsequent motion

    physics-General
    parallel
    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 U left parenthesis y right parenthesis equals left parenthesis y 2 minus 6 y plus 14 right parenthesis Jwhere is in meters. At y equals 3 m the particle has kinetic energy of 15 text  J end text. 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 U left parenthesis y right parenthesis equals left parenthesis y 2 minus 6 y plus 14 right parenthesis Jwhere is in meters. At y equals 3 m the particle has kinetic energy of 15 text  J end text. The total mechanical energy of the particle is

    physics-General
    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
    General
    physics-

    A particle moves in one dimensional field with total mechanical energy E. If potential energy of particle is U left parenthesis x right parenthesis, then

    A particle moves in one dimensional field with total mechanical energy E. If potential energy of particle is U left parenthesis x right parenthesis, then

    physics-General
    parallel
    General
    physics-

    A body of mass m is slowly halved up the rough hill by a force h cross times F at which each point is directed along a tangent to the hill. Work done by the force

    A body of mass m is slowly halved up the rough hill by a force h cross times F at which each point is directed along a tangent to the hill. Work done by the force

    physics-General
    General
    physics-

    Simple pendulum P subscript 1 end subscript and P subscript 2 end subscript have lengths l subscript 1 end subscript = 80 cm and l subscript 2 end subscript = 100 cm. The bob are of masses m subscript 1 end subscript and m subscript 2 end subscript. Initially both are at rest in equilibrium position. If each of the bobs is given a displacement of 2cm, the work done is W subscript 1 end subscript text  and  end text W subscript 2 end subscript respectively. Then,

    Simple pendulum P subscript 1 end subscript and P subscript 2 end subscript have lengths l subscript 1 end subscript = 80 cm and l subscript 2 end subscript = 100 cm. The bob are of masses m subscript 1 end subscript and m subscript 2 end subscript. Initially both are at rest in equilibrium position. If each of the bobs is given a displacement of 2cm, the work done is W subscript 1 end subscript text  and  end text W subscript 2 end subscript respectively. Then,

    physics-General
    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
    parallel
    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 fraction numerator 1 over denominator 5 end fraction square root of 95 R g end root 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 fraction numerator 1 over denominator 5 end fraction square root of 95 R g end root It will leave the circle at an angular distance .... from the highest point.

    physics-General
    General
    physics-

    The potential energy for the force stack F with rightwards arrow on top equals y z stack i with hat on top plus x z stack j with hat on top plus x y stack k with hat on top if the zero of the potential energy is to be chosen at the point (2, 2, 2) is

    The potential energy for the force stack F with rightwards arrow on top equals y z stack i with hat on top plus x z stack j with hat on top plus x y stack k with hat on top if the zero of the potential energy is to be chosen at the point (2, 2, 2) is

    physics-General
    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 ?

    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 ?

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.