[" If "1+sin x+sin^(2)x+...+cos x=4+2sqrt(3),0

If 1 + sin x + sin^2 x + sin ^3 x + ……. to oo = 4 +2 sqrt(3) , 0 lt x lt pi then x=

If 1+sin x+sin^(2)x+sin^(3)x+oo is equal to 4+2sqrt(3),0

The value of x in (0, (pi)/(2)) satisfying (sqrt(3) - 1)/(sin x) + (sqrt(3) + 1)/( cos x) = 4 sqrt(2) is

2sin^(2)x+sqrt(3)cos x+1=0

If "sin" x + "sin"^(2) x = 1 show that: cos^(4)x + cos^(2)x = 1 (ii) If "sin" x + cos x =sqrt(2) cos x show that: sqrt2 sin x = cos x - sin x

For n in Z , the general solution of the trigonometric equation sin x-sqrt(3) cos x +4 sin 2x-4sqrt(3)cos 2x+sin 3x-sqrt(3)cos 3x=0 is

If sin x + sin^(2) x + sin^(3) x = 1 , then prove that cos^(6)x - 4 cos^(4) x + 8 cos^(2) x - 4 = 0 .

The value of the limit lim_(x to pi/2) (4sqrt2)(sin3x +sinx)/((2 sin 2x sin. (3x)/2 +cos. (5x)/2)-(sqrt(2)+sqrt(2)cos 2x +cos. (3x)/2)) is _______

Let f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin 2 x],[ sin ^2 x ,1+cos ^2 x , 4 sin 2 x],[ sin ^2 x , cos ^2 x , 1+4 sin 2 x]| , the maximum value of f(x) is