Inverse Trigonometric Functions questions
371 published questions with worked solutions.
- If 2 ^ -1 x - 3 ^ -1 x = 4, then 2 ^ -1 x + 3 ^ -1 x =
- If 3 ^ -1 ( 2x 1+x^2 ) - 4 ^ -1 ( 1-x^2 1+x^2 ) + 2 ^ -1 ( 2x 1-x^2 ) = 3 then x = ?
- If a_1,a_2,a_3, ,a_n are in arithmetic progression with common difference d, then [ ^ -1 ( d 1+a_1a_2 )+ ^ -1 ( d 1+a_2a_3 )+ + ^...
- If ^ -1 ( x^2+y^2 x^2-y^2 )=2a such that y dy dx =x f(a) then the value of f ( 2 3 ) is
- If ^ -1 x+ ^ -1 y= 3 and ^ -1 ( 1x )- ^ -1 ( 1y )=0 then 2x^2+y^2-xy=
- The value of [ ^ -1 ( 1-x^2 2x )+ ^ -1 ( 1-x^2 1+x^2 ) ] is
- _ -1 ^ 3 ( ^ -1 ( x x^2+1 )+ ^ -1 ( x^2+1 x ) )dx=
- If ^ -1 1 3 + ^ -1 3 5 + ^ -1 x = 2 then x =
- The value of 2 ^ -1 1 2 + ^ -1 3 8 is
- The number of solutions of ^ -1 (x+ 2x )- ^ -1 ( 4x )- ^ -1 (x- 2x )=0 are
- Considering only the principal values of the inverse trigonometric function, the value of ( ^ -1 1 5 2 - ^ -1 4 17 ) is
- If y= ^ -1 ( 2x 1+x^ 2 )+ ^ -1 ( 1+x^ 2 1-x^ 2 ) then the value of dy dx at x= 3 is
- ^ -1 (2 (2 cosec ^ -1 ( 2 ) ) )=
- If 0 ^ -1 x and - 2 ^ -1 x 2 , then at x= 1 5 the value of (2 ^ -1 x+ ^ -1 x ) is
- The value of ^2( ^ -1 4)+ ^2( cosec ^ -1 3) is
- If y = ^ -1 ( 12x - 64x^3 1 - 48x^2 ), then dy dx =
- If ( ^ -1 x)^2 + ( ^ -1 x)^2 = 5 ^2 8 , then x^2 + 1 =
- If ^ -1 (x + 1) + ^ -1 x + ^ -1 (x - 1) = ^ -1 3, then for x < 0 the value of 500x^4 + 270x^2 + 997 =
- The principal value of ^ -1 [ 1 2 ( 9 10 - 9 10 ) ] is
- If y= ^ -1 ( 4x 1+5x^2 )+ ^ -1 ( 3-2x 2+3x ), then dy dx is equal to
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