If `x , y in [0,2pi]a n dsinx+siny=2,` then the value of `x+y` is `pi` (b) `pi/2` (c) `3pi` (d) none of these

If 0lexle2pi,0le2piandsinx+siny=2 , then the value of x+y is

If x+y=2pi//3 and sin x//siny=2 , then the

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

Period of f(x)=sin^4x+cos^4x is- pi b. pi/2 c. 2pi d. none of these

int_0^pi cos2xlogsinxdx= (A) pi (B) -pi/2 (C) pi/2 (D) none of these

If x in [0. (pi)/(2)], y in [0, (pi)/(2)] and sin x + cos y =2, then the value of x+y is equal to

If x<0,\ y<0 such that x y=1 , then tan^(-1)x+tan^(-1)y equals pi/2 (b) -pi/2 (c) pi (d) none of these

If a,b in[0,2 pi] and the equation x^(2)+4+3sin(ax+b)-2x=0 has at least one solution,then the value of (a+b) can be (a) (7 pi)/(2) (b) (5 pi)/(2) (c) (9 pi)/(2) (d) none of these

The sides of a triangle A B C are x , y ,\ sqrt(x^2+y^2+x y) respectively. The size of the greatest angle in radians is : (2pi)/3 (b) pi/3 (c) pi/2 (d) none of these

2sin^2x+sin^2(2x)=2 , -piltxltpi then x equals (A) +- pi/2 (B) +- pi/4 (C) +-(3pi)/4 (D) none of these