Home
Class 12
MATHS
sin [ 3 sin ^(-1) ((1)/(5)) ] is equal t...

` sin [ 3 sin ^(-1) ((1)/(5)) ]` is equal to : a) ` ( 71)/(125)` b)` (74)/(125)` c)` (3)/(5)` d)`(1)/(2)`

A

` ( 71)/(125)`

B

` (74)/(125)`

C

` (3)/(5)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The value of cos(sin^(-1)((2)/(3))) is equal to a) (sqrt(3))/(5) b) (5)/(3) c) (5)/sqrt(3) d) (sqrt(5))/(3)

If x = sin^(-1) (3t - 4t^(3)) and y = cos^(-1) (sqrt(1 - t^(2))) , then (dy)/(dx) is equal to a) (1)/(2) b) (2)/(3) c) (1)/(3) d) (2)/(5)

sin ^(2) 5 ^(@) + sin ^(2) 10 ^(@) + sin^(2) 15 ^(@) + ... + sin ^(2) 90^(@) is equal to : a) 8 (1)/(2) b) 9 c) 9 (1)/(2) d) 4 (1)/(2)

The value of underset(n rarr oo)lim ""(""^(n)C_(3) - ""^(n)P_(3))/(n^(3)) is equal to a) (-5)/(6) b) (5)/(6) c) (1)/(6) d) -(1)/(6)

int ( sqrt ( 5 + x ^(2)))/( x ^(4)) dx is equal to a) (1)/(15) (1 + (5)/( x ^(2)) ) ^((3)/(2)) b) (-1)/( 15) (1 + ( 1)/( x ^(2))) ^((3)/(2)) +C c) (-1)/( 15) (1 + (5)/(x ^(2))) ^((3)/(2))+ C d) (1)/(15) (1 + (1)/( x ^(2))) ^((3)/(2)) +C

If sin (sin ^(-1) (1/5) + cos ^(-1) x )=1 , then the value of x is : a)-1 b) (2)/(5) c) (1)/(3) d) (1)/(5)

If y = sin^(2) cot^(-1) sqrt((1+x)/(1-x)) , then (dy)/(dx) is equal to a)2 sin 2x b)sin 2x c) (1)/(2) d) -(1)/(2)

The value of sin^(2)""(pi)/(8) + sin^(2)""(3pi)/(8) + sin^(2)""(5pi)/(8) + sin^(2) ""(7pi)/(8) is equal to a) (1)/(8) b) (1)/(4) c) (1)/(2) d)2

If x = sin t and y = tan t , then (dy)/(dx) is equal to a) cos ^(2) t b) (1)/( cos ^(3) t ) c) (1)/( cos ^(2) t ) d) sin ^(2) t