Inverse Trigonometric Functions questions
371 published questions with worked solutions.
- Let D be the domain of the function f(x) = ^ -1 ( _ 3x ( 6+2 _3x -5x ) ) If the range of the function g : D defined by g(x) = x –...
- The range of f(x)= 4 ^ -1 ( x^2 x^2+1 ) is :
- For x [-1, 1], the number of solutions of the equation ^ -1 x=2 ^ -1 x is equal to ________
- If S = x R: ^ -1 ( x+1 x^2+2x+2 )- ^ -1 ( x x^2+1 )= 4 , then _ x S ( ((x^2+x+5) 2 )- ((x^2+x+5) ) ) is equal to _________
- ^ -1 ( 1+ 3 3+ 3 )+ ^ -1 ( 8+4 3 6+3 3 ) is equal to :
- If the sum of all the solutions of ^ -1 ( 2x 1-x^2 )+ ^ -1 ( 1-x^2 2x )= 3 , –1 < x < 1, x 0 is - 4 3 , then is equal to...
- Let a_1 = 1, a_2, a_3, a_4,…. be consecutive natural numbers. Then ^ -1 ( 1 1+a_1a_2 )+ ^ -1 ( 1 1+a_2a_3 )+ + ^ -1 ( 1 1+a_ 2021...
- If ^ -1 17 + ^ -1 4 5 - ^ -1 77 36 =0, 0< <13, then ^ -1 ( )+ ^ -1 ( ) is equal to :
- ^ -1 ( ) = ^ -1 ( ) = x, then x =
- The domain of ^ -1 [ _3(x/3) ] is
- The trigonometric equation ^ -1 x = 2 ^ -1 a has a solution for
- If ^ -1 x - ^ -1 y 2 = , then 4x^2 - 4xy + y^2 is equal to
- Let f : (-1, 1) B, be a function defined by f(x) = ^ -1 2x 1 - x^2 , then f is both one-one and onto when B is the interval
- If ^ -1 ( x 5 ) + cosec ^ -1 ( 54 ) = 2 then a value of x is
- The largest interval lying in (- 2 , 2 ) for which the function [f(x) = 4^ -x^2 + ^ -1 ( x 2 - 1 ) + ( x) ] is defined, is
- The value of ( cosec ^ -1 53 + ^ -1 23 ) is
- The value of (2 ^ -1 ( 5-1 2 ) ) is
- The value of (2 ^ -1 x+ ^ -1 x ) at x= 1 5 , where 0 ^ -1 x and - 2 ^ -1 x 2 , is
- Considering only the principle values of inverse function The set A = x 0 ;/ ; ^ -1 (2x)+ ^ -1 (3x)= 4
- The number of real solution of ^ -1 x(x+1) + ^ -1 x^2+x+1 = 2 is
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