Inverse Trigonometric Functions questions
371 published questions with worked solutions.
- If 0 < x < 1, then 1+x^2 [ x ( ^ -1 x) + ( ^ -1 x) ^2 - 1 ]^ 1 2 =
- If the domain of the function f(x) = ^ -1 ( 2x-5 11-3x ) + ^ -1 (2x^2 - 3x + 1) is the interval [ , ], then + 2 is equal to :
- Let the maximum value of ( ^ -1 x)^2 + ( ^ -1 x)^2 for x [- 3 2 , 1 2 ] be m n ^2, where (m, n) = 1. Then m + n is equal to _____.
- If the domain of the function f(x) = ^ -1 ( 5-x 3+2x ) + 1 _e(10-x) is (- , ] [ , ) - , then 6( + + + ) is equal to
- The number of solutions of ^ -1 4x + ^ -1 6x = 6 , where - 1 2 6 < x < 1 2 6 is equal to
- If the domain of the function f(x) = ^ -1 ( 1 x^2-2x-2 ), is (- , ] [ , ] [ , ), then + + + is equal to
- Considering the principal values of inverse trigonometric functions, the value of the expression (2 ^ -1 ( 2 13 )-2 ^ -1 ( 3 10 )...
- Using the principal values of the inverse trigonometric functions the sum of the maximum and the minimum values of 16((sec–1x)² +...
- If 2 x 3 4 , then ^ -1 ( 12 13 x + 5 13 x ) is equal to-
- If > > > 0, then the expression ^ -1 + (1+ ^2) ( - ) + ^ -1 + (1+ ^2) ( - ) + ^ -1 + (1+ ^2) ( - ) is equal to :
- ( ^ -1 3 5 + ^ -1 5 13 + ^ -1 33 65 ) is equal to :
- Let [x] denote the greatest integer less than or equal to x. Then domain of f(x)= ^ -1 (2[x]+1) is :
- Let S = x : ^ -1 x = + ^ -1 x + ^ -1 (2x + 1) . Then _ x S (2x-1)^2 is equal to ………….. .
- If the domain of the function f(x) = _e ( 2x-3 5+4x ) + ^ -1 ( 4+3x 2-x ) is [ , ), then ^2 + 4 is equal to
- Considering the principal values of the inverse trigonometric functions, ^ -1 ( 3 2 x + 1 2 1-x^2 ), - 1 2 < x < 1 2 , is equal to
- Let the domain of the function f(x) = ^ -1 ( 4x+5 3x-7 ) be [ , ] and the domain of g(x) = _2(2 - 6 _ 27 (2x+5)) be ( , ). Then...
- The sum of the infinite series ^ -1 ( 7 4 ) + ^ -1 ( 19 4 ) + ^ -1 ( 39 4 ) + ^ -1 ( 67 4 ) + is :
- 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
- The range of the function ( ^ -1 x+ ^ -1 x ), |x| 1 is
- The domain of ^ -1 ( _3x) is
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