If `y=cos x` ,then what is the maximum value of y
(A) 1 (B) -1 (C) `pi` (D) `2 pi`

If the area of the region bounded by y=sinax, y=0, x=pi/a and x=pi/(3a) is 4, then the positive value of a is (A) 1/2 (B) 2 (C) 5/8 (D) none of these

If y=sin^(-1)(cos x) , then ((dy)/(dx)) at x=(24 pi)/(29) is equal to (A) 1 , (B) -1 , (C) (24 pi)/(29) , (D) (-24 pi)/(29)

If x cos y+y cos x=pi then the value of y'(0) is equal to pi(b)-pi(c)1(d)0

If pi<=x<=2 pi, then cos^(-1)(cos x) is equal to (A) x(B)-x(C)2 pi+x(D)2 pi-x

If A=[{:(cos x,-sin x),(sin x,cos x):}] ,then A+A^(-1)=I if the value of x is a. (pi)/(6) b. (pi)/(3) c. "" pi d. (3 pi)/(2)

If y=tan^(-1)(1)/(2)+tan^(-1)b,(0 =(pi)/(4) then the maximum value of b is (1)/(2)(b)-1 (c) (2)/(3)(d)

The largest value of c such that there exists a differentiable function f(x) for -c lt x lt c that satisfies the equation y_1 = 1+y^2 with f(0)=0 is (A) 1 (B) pi (C) pi/3 (D) pi/2

If x=sin^(-1)(sin10) and y=cos^(-1)(cos10) then the value of (y-x) is (a) pi(b)7 pi(c)0 (d) 10

If the differentiable equation (dy)/(dx)-y=y^(2)(sin x+cos x) with y(0)=1 then y(pi) has the value equal to (A)-e^(pi)(B)-e^(pi)(C)e^(-pi)(D)-e^(-pi)

The value of the integral int_(-pi)^(pi)(cos^(2)x)/(1+a^(x))"dx" , where a gt 0 , is - (A) pi (B) api (C) pi/2 (D) 2pi