Maths-
General
Easy

Question

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 =

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

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
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-

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
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-

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-

A block of weight W is suspended by a string of fixed length. The ends of the string are held at various positions as shown in the figures below. In which case, if any, is the magnitude of the tension along the string largest?

A block of weight W is suspended by a string of fixed length. The ends of the string are held at various positions as shown in the figures below. In which case, if any, is the magnitude of the tension along the string largest?

physics-General
General
maths-

If Tan space x plus 2 Tan space 2 x plus 4 Tan space 4 x plus 8 C cot space 8 x equals square root of 3 then the general solution of x=

If Tan space x plus 2 Tan space 2 x plus 4 Tan space 4 x plus 8 C cot space 8 x equals square root of 3 then the general solution of x=

maths-General
General
physics-

An ideal string is passing over a smooth pulley as shown. Two blocks  and  are connected at the ends of the string. If  = 1 kg and tension in the string is 10 N, mass m2 is equal to open parentheses straight g equals 10 straight m divided by straight s squared close parentheses

An ideal string is passing over a smooth pulley as shown. Two blocks  and  are connected at the ends of the string. If  = 1 kg and tension in the string is 10 N, mass m2 is equal to open parentheses straight g equals 10 straight m divided by straight s squared close parentheses

physics-General
General
Maths-

Tan space open parentheses pi over 4 plus A over 2 close parentheses plus Tan space open parentheses pi over 4 minus A over 2 close parentheses equals fraction numerator 4 over denominator square root of 3 end fraction; then the general solution of A=

Tan space open parentheses pi over 4 plus A over 2 close parentheses plus Tan space open parentheses pi over 4 minus A over 2 close parentheses equals fraction numerator 4 over denominator square root of 3 end fraction; then the general solution of A=

Maths-General
General
physics-

Three forces ,  and  act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate?

Three forces ,  and  act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate?

physics-General
General
maths-

The general solution of sin space 2 x equals 4 cos space x is

The general solution of sin space 2 x equals 4 cos space x is

maths-General
General
Maths-

If 11 sin squared space x plus 7 Cos squared space x equals 8 then x = - ....

If 11 sin squared space x plus 7 Cos squared space x equals 8 then x = - ....

Maths-General