Inverse Trigonometric Functions questions
371 published questions with worked solutions.
- Considering only the principal values of inverse trigonometric functions, the number of positive real values of x satisfying...
- If the domain of the function f(x) = _e ( 2x+3 4x^2+x-3 ) + ^ -1 ( 2x-1 x+2 ) is (α, β], then the value of 5β – 4α is equal to
- If a = sin⁻¹(sin(5)) and b = cos⁻¹(cos(5)), then a² + b² is equal to
- ^ -1 ( (-5))+ ^ -1 ( (6))- ^ -1 ( (12)) is equal to : (The inverse trigonometric functions take principal values)
- Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy ^...
- Let S_k= _ r=1 ^k ^ -1 ( 6^r 2^ 2r+1 +3^ 2r+1 ). then _ k S_k is equal to -
- If ^ -1 ( )= ^ -1 2+ ^ -1 8+ ^ -1 18+ ^ -1 32+ upto 100 terms, then is :
- The sum of possible values of x for ^ -1 (x+1)+ ^ -1 ( 1 x-1 )= ^ -1 8 31 is :
- The value of (2 ^ -1 ( 3 5 )+ ^ -1 ( 5 13 ) ) is equal to
- If the domain of the function f(x)= ^ -1 x^2-x+1 ^ -1 ( 2x-1 2 ) is the interval ( , ], then + is equal to -
- A possible value of ( 1 4 ^ -1 63 8 ) is :
- _ n _ r=1 ^n ^ -1 1 (1+r+r^2) is equal to——
- cosec [2 ^ -1 (5)+ ^ -1 ( 4 5 ) ] is equal to :
- The domain of the function cosec^ -1 ( 1+x x ) is :
- Let f(x)= (2 ^ -1 ( ^ -1 1-x x ) ), 0 < x < 0. Then -
- If 0 < a, b < 1, and ^ -1 a+ ^ -1 b= 4 , then the value of (a+b)- ( a^2+b^2 2 )+ ( a^3+b^3 3 )- ( a^4+b^4 4 )+ is :
- If ^ -1 x a = ^ -1 x b = ^ -1 y c ; 0 < x < 1, then the value of ( c a+b ) is
- The set of all values of k for which ( ^ -1 x)^ 3 + ( ^ -1 x)^ 3 = k ^ 3 , x ℝ, is the interval :
- Let x * y = x^ 2 + y^ 3 and (x * 1) * 1 = x * (1 * 1). Then a value of 2 ^ -1 ( x^4 + x^2 - 2 x^4 + x^2 + 2 ) is
- If y = ^ -1 ( x^3 - x^3 ), 2 < x^3 < 3 2, then
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