Inverse Trigonometric Functions questions
371 published questions with worked solutions.
- The value of ^ -1 ( 15 4 - 1 4 ) is equal to-
- If 0 < x < 1/ 2 and ^ -1 x/ = ^ -1 x/ , then a value of (2 /( + )) is
- (2 ^ -1 (1/5) + ^ -1 ( 5 /2) + 2 ^ -1 (1/8)) is equal to :
- If the inverse trigonometric functions take principal values, then ^ -1 ( 3 10 ( ^ -1 43 ) + 25 ( ^ -1 43 ) ) is equal to :
- The domain of the function f(x)= ^ -1 ( 3x^2+x-1 (x-1)^2 )+ ^ -1 ( x-1 x+1 ) is :
- Let s = x R:0<x<1 and 2 ^ -1 ( 1-x 1+x )= ^ -1 ( 1-x^2 1+x^2 ) If n(S) denotes the number of elements in S then :
- Let S be the set of all solutions of the equation ^ -1 (2x)-2 ^ -1 ( 1-x^2 )= , x [- 1 2 , 1 2 ]. Then _ x S 2 ^ -1 (x^2-1) is...
- Let f( ) = ( ^ -1 ( 2 ) ), where - 4 < < 4 . Then the value of d d( ) (f( ) ) is
- Let f : [0, 4π] → [0, π] be defined by f(x) = ^ -1 ( x). The number of points x ∈ [0, 4π] satisfying the equation f(x) = 10 - x...
- If =3 ^ -1 ( 6 11 ) and =3 ^ -1 ( 4 9 ), where the inverse trigonometric functions take only the principal values, then the...
- The number of real solutions of the equation ^ -1 ( _ i=1 ^ x^ i+1 -x _ i=1 ^ ( x 2 )^i )= 2 - ^ -1 ( _ i=1 ^ (- x 2 )^i- _ i=1 ^...
- For any positive integer n, define f_n:(0, ) R as f_n(x)= _ j=1 ^ n ^ -1 ( 1 1+(x+j)(x+j-1) ) for all x (0, ). (Here, the inverse...
- What is the value of (2 ^ -1 0 8)?
- The value of ^ -1 ( 3 5 )+ ^ -1 ( 1 7 ) is equal to
- The principal value of ^ -1 x lies in the interval
- If y= ^ -1 ( x+1 x-1 )+ ^ -1 ( x-1 x+1 ), then dy dx is equal to
- What is the principal value of ^ -1 ( 2 3 )?
- What is ^ -1 ( 1 4 )+ ^ -1 ( 3 5 ) equal to?
- Consider the following values of x : 1. 8 2. -4 3. 1 6 4. - 1 4 Which of the above values of x is/are the solution(s) of the...
- If y= ^ -1 ( 5-2 x 2+5 x ), then what is dy dx equal to?
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