General
Easy
Maths-

If Sin space x times Sin space open parentheses 60 to the power of ring operator plus x close parentheses times Sin space open parentheses 60 to the power of ring operator minus x close parentheses equals 1 over 8 then x =

Maths-General

  1. n pi plus left parenthesis negative 1 right parenthesis to the power of n pi over 6
  2. fraction numerator n pi over denominator 3 end fraction plus left parenthesis negative 1 right parenthesis to the power of n pi over 18
  3. fraction numerator n pi over denominator 3 end fraction plus left parenthesis negative 1 right parenthesis to the power of n pi over 9
  4. n pi plus left parenthesis negative 1 right parenthesis to the power of n pi over 3

    Answer:The correct answer is: fraction numerator n pi over denominator 3 end fraction plus left parenthesis negative 1 right parenthesis to the power of n pi over 18

    Book A Free Demo

    +91

    Grade*

    Related Questions to study

    General
    maths-

    The curvesblank x to the power of 2 end exponent minus y to the power of 2 end exponent equals 5 blankandblank fraction numerator x to the power of 2 end exponent over denominator 18 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 8 end fraction equals 1 blankcut each other at the common point at an angle

    Point of intersection for two curves is (3, 2) andblank m subscript 1 end subscript equals fraction numerator 3 over denominator 2 end fraction comma m subscript 2 end subscript equals fraction numerator negative 2 over denominator 3 end fraction

    The curvesblank x to the power of 2 end exponent minus y to the power of 2 end exponent equals 5 blankandblank fraction numerator x to the power of 2 end exponent over denominator 18 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 8 end fraction equals 1 blankcut each other at the common point at an angle

    maths-General
    Point of intersection for two curves is (3, 2) andblank m subscript 1 end subscript equals fraction numerator 3 over denominator 2 end fraction comma m subscript 2 end subscript equals fraction numerator negative 2 over denominator 3 end fraction
    General
    maths-

    The area of the equilateral triangle which containing three coins of unity radius is

    In capital delta B C subscript 1 end subscript M; B M equals left parenthesis C subscript 1 end subscript M right parenthesis. cot invisible function application 3 0

    Þ B M equals square root of 3
    Þ Similarly, C N equals square root of 3and M N equals C subscript 1 end subscript C subscript 2 end subscript equals 1 plus 1 equals 2
    Hence, side B C equals square root of 3 plus square root of 3 plus 2 equals 2 left parenthesis 1 plus square root of 3 right parenthesis
    Þ Area of equilateral triangle
    equals fraction numerator square root of 3 over denominator 4 end fraction left square bracket 2 left parenthesis 1 plus square root of 3 right parenthesis right square bracket to the power of 2 end exponent=A B equals O A minus O B equals h left parenthesis cot invisible function application 1 5 to the power of o end exponent minus cot invisible function application 3 0 to the power of o end exponent right parenthesis sq units.

    The area of the equilateral triangle which containing three coins of unity radius is

    maths-General
    In capital delta B C subscript 1 end subscript M; B M equals left parenthesis C subscript 1 end subscript M right parenthesis. cot invisible function application 3 0

    Þ B M equals square root of 3
    Þ Similarly, C N equals square root of 3and M N equals C subscript 1 end subscript C subscript 2 end subscript equals 1 plus 1 equals 2
    Hence, side B C equals square root of 3 plus square root of 3 plus 2 equals 2 left parenthesis 1 plus square root of 3 right parenthesis
    Þ Area of equilateral triangle
    equals fraction numerator square root of 3 over denominator 4 end fraction left square bracket 2 left parenthesis 1 plus square root of 3 right parenthesis right square bracket to the power of 2 end exponent=A B equals O A minus O B equals h left parenthesis cot invisible function application 1 5 to the power of o end exponent minus cot invisible function application 3 0 to the power of o end exponent right parenthesis sq units.
    General
    physics-

    Block A of mass m is placed over a wedge B of same mass m. Assuming all surfaces to be smooth. The displacement of block A in 1 s if the system is released from rest is

    Block A of mass m is placed over a wedge B of same mass m. Assuming all surfaces to be smooth. The displacement of block A in 1 s if the system is released from rest is

    physics-General
    General
    maths-

    Solutions in the given Interval: The value of theta satisfyingSin space 7 theta equals Sin space 4 theta minus Sin space theta text  in  end text 0 less than theta less than pi over 2 are

    Solutions in the given Interval: The value of theta satisfyingSin space 7 theta equals Sin space 4 theta minus Sin space theta text  in  end text 0 less than theta less than pi over 2 are

    maths-General
    General
    physics-

    A man of mass 50 kg is pulling on a plank of mass 100 kg kept on a smooth floor as shown with force of 100 N. If both man & plank move together, find force of friction acting on man

    A man of mass 50 kg is pulling on a plank of mass 100 kg kept on a smooth floor as shown with force of 100 N. If both man & plank move together, find force of friction acting on man

    physics-General
    General
    maths-

    If Cos space x plus Cos space y equals 1 and text  CosxCosy  end text equals 1 divided by 4 then the straight G subscript straight S straight S are

    If Cos space x plus Cos space y equals 1 and text  CosxCosy  end text equals 1 divided by 4 then the straight G subscript straight S straight S are

    maths-General
    General
    physics-

    In the figure shown block B moves down with a velocity 10 m/s. The velocity of A in the position shown is

    In the figure shown block B moves down with a velocity 10 m/s. The velocity of A in the position shown is

    physics-General
    General
    maths-

    If Tan space m theta equals Cotn space theta then the G S of theta =

    If Tan space m theta equals Cotn space theta then the G S of theta =

    maths-General
    General
    maths-

    If 1 plus sin squared space theta equals 3 Sin backslash t h e t a Cos space theta then the solution set in  open parentheses 0 comma pi over 2 close parentheses is

    If 1 plus sin squared space theta equals 3 Sin backslash t h e t a Cos space theta then the solution set in  open parentheses 0 comma pi over 2 close parentheses is

    maths-General
    General
    physics-

    A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of  with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take straight g equals 10 straight m divided by straight s squared
):

    A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of  with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take straight g equals 10 straight m divided by straight s squared
):

    physics-General
    General
    physics-

    A particle is moving along the circle x squared plus y squared equals a squared in anticlockwise direction. The x–y plane is a rough horizontal stationary surface. At the point left parenthesis a space cos theta comma space a space sin theta right parenthesis, the unit vector in the direction of friction on the particle is

    A particle is moving along the circle x squared plus y squared equals a squared in anticlockwise direction. The x–y plane is a rough horizontal stationary surface. At the point left parenthesis a space cos theta comma space a space sin theta right parenthesis, the unit vector in the direction of friction on the particle is

    physics-General
    General
    maths-

    The equation square root of 3 sin space x plus cos space x equals 4 has

    The equation square root of 3 sin space x plus cos space x equals 4 has

    maths-General
    General
    physics-

    An inclined plane makes an angles  with the horizontal. A groove OA=5m cut in the plane makes an angle  with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is open parentheses straight q equals 10 straight m divided by straight s squared close parentheses

    An inclined plane makes an angles  with the horizontal. A groove OA=5m cut in the plane makes an angle  with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is open parentheses straight q equals 10 straight m divided by straight s squared close parentheses

    physics-General
    General
    maths-

    The general value of theta satisfies the equation Tan space theta Tan space open parentheses 120 to the power of ring operator plus theta close parentheses Tan space open parentheses 120 to the power of ring operator minus theta close parentheses equals fraction numerator 1 over denominator square root of 3 end fraction is

    The general value of theta satisfies the equation Tan space theta Tan space open parentheses 120 to the power of ring operator plus theta close parentheses Tan space open parentheses 120 to the power of ring operator minus theta close parentheses equals fraction numerator 1 over denominator square root of 3 end fraction is

    maths-General
    General
    physics-

    In the following arrangement the system is initially at rest. The 5 kg block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of blocks is

    In the following arrangement the system is initially at rest. The 5 kg block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of blocks is

    physics-General