`sin^2(5 1^0-x)+sin^2(3 9^0+x)= ` 1)-1 2)0 3) 1 4) 2

lim_ (x rarr0) (1- (1-sin x) (1-sin2x) ^ (2) ... (1-sin nx) ^ (n)) / (x) = 55

lim_(x rarr0)(sin^(-1)x-sin x)/(x^(3)) 1) (1)/(2) , 2) (1)/(3) , 3) (1)/(4) , 4) (1)/(5)

[ Number of solution of 4sin^(3)x-4sin^(2)x-sin(pi-x)+1=0;x in[0,pi]; is [ (1) 1, (2) 2 (3) 3, (4) 4]]

lim_ (x rarr0) ((1 + sin ^ (2) x) ^ ((1) / (3)) - (1-2tan x) ^ ((1) / (4))) / (sin x + tan ^ (2) x)

Evaluate: int_(0)^((pi)/(4))(sin^((1)/(2))x)/(cos^((5)/(2))x)dx= (1) 0 (2) 1 (3) frac(2)(3) (4) None of these

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

If 0 < cos^-1(x) <1 and 1+sin(cos^(-1)x)+sin^2(cos^(-1)x)+sin^3(cos^(-1)x) + ..... =2 then the value of 12 x^2 is____

The number of solutions of the equation sin^2x+1=cosxAAx in [0,pi) is 0 2.1 3. 2 4. 3 5. 4

If 0ltcos^(-1)x lt 1 and 1+sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+…….oo=2 , then the value of 12x^(2) is