1
cos⁻¹(cos(5π/4)) is given by ...
2
The value of cos⁻¹ root(2/3)-(cos⁻¹(√6+1/2√3)) is ...
3
The principal value of sin⁻¹(sin 10) is ...
4
The sum of the solutions of the equation 2sin⁻¹(√x² + x + 1) + cos⁻¹(x^2 + x)^.5 = 3π/2 is ...
5
If 3 sin⁻¹(2x/(1+x^2)) - 4 cos⁻¹(1 - x²)/(1+x^2 + 2 tan⁻¹(2x/(1 - x²)) = π where |x| < 1, then x is ...
6
The number of real solutions of the equation (1+cos(2x))^.5 =root2 * sin^-1(sin(x)), for x in [0, ...
7
tan (π/4 + .5*cos^-1(x)) + tan (π/2 - .5*cos^-1(x)), x notequal 0 , is equal to ...
8
For the equation cos⁻¹ x + cos⁻¹ 2x + π = 0, the number of real solutions is ...
9
If cot⁻¹(n/π) > π/6, n ∈ N, then the maximum value of n is ...
10
If 3 tan⁻¹(1/(2+√3)) - tan⁻¹(1/x) = tan⁻¹(1/3), then x is equal to ...
11
If tan⁻¹(x) + 2 cos⁻¹(x) = 2π/3, then x is equal to ...
12
The value of 2 * tan^-1 (cosec(tan^-1(x)) - tan(cot^-1(x))) is equal to ...
13
If tan(x + y) = 33 and x = tan⁻¹(3), then y will be ...
14
The value of the expression sin⁻¹(sin(22π/7)) + cos⁻¹(cos(5π/3)) + tan⁻¹(tan(5π/7)) + sin⁻¹(cos 2) i ...
15
If A = tan⁻¹(x√3/2k-x) and B = tan⁻¹(2x -k/√3K), then the value of A - B is ...
16
The number of solutions of the equation cos⁻¹ ((1 + x^2)/2x) - cos⁻¹ x = π/2 + sin⁻¹ x is given by ...
17
If tan⁻¹(1 -x)/(1+x) = tan⁻¹ x, then x is equal to ...
18
If sin⁻¹(5/x) + sin⁻¹(12/x) = π/2, then x is equal to ...
19
Sum of roots of the equation sin⁻¹(x) - cos⁻¹(x) = sin⁻¹(3x - 2) is ...
20
The solution s~t of the eq~1ation sin- 1 (1 -x^2)^.5 + cos- 1 x = cot- 1 (1-x^2)/x -sin- 1 x is ...
21
The value of sin⁻¹(cos(cos⁻¹(cos x) + sin⁻¹(sin x))), where x ∈ ( π/2,π), is equal to ...
22
There exists a positive real number x satisfying cos(tan⁻¹(x)) = x. Then the value of cos⁻¹(x^2/2) ...
23
sec²(tan⁻¹(2)) + cosec²(cot⁻¹(3)) is equal to ...
24
The value of sin⁻¹(sin 12) + cos⁻¹(cos 12) is equal to ...
25
The value of 'a' for which ax² + sin⁻¹(x² - 2x + 2) + cos⁻¹(-x² - 2x + 2) = 0 has a real solution is ...
26
The values of x satisfying the equation sin(tan⁻¹(x)) = cos(cot⁻¹(x+1) is ...
27
cos⁻¹(cos(2 cot⁻¹(√2 - 1))) is equal to ...
28
The value of sec[tan⁻¹((b +a)/(b-a) - tan⁻¹(a/b)] is ...
29
The number of solutions of the equation tan⁻¹(1 + x) + tan⁻¹(1 - x) = π/2 is ...
30
The number of solutions of the equation sin⁻¹ x + sin⁻¹ (1 - x) = cos⁻¹ x is ...
31
The range of values of p for which the equation sin(cos⁻¹(cos(tan⁻¹(x)))) = p has a solution is ...
32
The equation 3 * cos^-1(x) - π *x- π /2 = 0 has ...
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