" 8."sin^(-3)(x sqrt(x)),0<=x<=1

If 4sin^(2)x-2 (1+sqrt(3))sin x + sqrt(3)=0 then theta =

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

sin^(-1)[sqrt(x^(2)-x^(3))-sqrt(x-x^(3))]=..... a) sin^(-1)x+sin^(-1)sqrt(x) b) sin^(-1)x-sin^(-1)sqrt(x) c) sin^(-1)sqrt(x)-sin^(-1)x d) 2sin^(-1)x

If: sin^(2)x secx + sqrt(3).tanx=0 , then: x=

(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-1)sqrt(x)),x in[0,1]

lim_(x rarr 0) (sqrt(8-3x)+sqrt(8+4x))/(sqrt(2-3x))= _______.

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