((4ii)sin(2sin^(-1)x)

Solve (i)7cos^(2)theta+3sin^(2)theta=4(ii)2sin^(2)x+sin^(2)2x=2( iii) 4sin x sin2x sin4x=sin3x

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

Lt_(x to 0)(sin^(-1)x+3x)/(tanx+2sin((1)/(2)sin^(-1)x)[3-4"sin"^(2)((1)/(2)sin^(-1)x)])=

If (cos^(4)A)/(cos^(2)B)+(sin^(4)A)/(sin^(2)B)=1 then prove that (i)sin^(2)A+sin^(2)B=2sin^(2)A sin^(2)B(ii)(cos^(4)B)/(cos^(2)A)+(sin^(4)B)/(sin^(2)A)=1

Find the domain of each of the following functions: f(x)=sin^(-1)x^(2) (ii) f(x)=sin^(-1)x+sin x

sin^(-1)[xsqrt(1-x) - sqrtxsqrt(1-x^2)] (i) sin^(-1)x+sin^(-1)(sqrtx) (ii) sin^(-1)x-sin^(-1)(sqrtx) (iii) sin^(-1)(sqrtx)-sin^(-1)x (iv) None of these

int(sin4x)/(1+sin^(4)2x)dx=

Solve the equation 4^(sin2x+2cos^(2)x)+4^(1-sin2x+2sin^(2)x)=65

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