" 8."cos^(-1)[e^(sqrt(tan x))]

tan ^(-1)(cos sqrt(x))

tan ^(-1)(cos sqrt(x))

If y=cot^(-1)(sqrt(cos x))-tan^(-1)(sqrt(cos x)), prove that sin y=tan^(2)(x)/(2)

Show that : tan (cos^(-1)x) = (sqrt(1-x^(2)))/x

Solve for x, if : tan (cos^(-1)x)=(2)/(sqrt(5))

If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=tan^2x/2

If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=tan^2x/2

if cot^(-1)[sqrt(cos alpha)]-tan^(-1)[sqrt(cos alpha)]=x then sin x is equal to

cos^(-1)x = tan^(-1)x , then: a. x^2=((sqrt(5)-1)/2) b. x^2=((sqrt(5)+1)/2) c. sin(cos^(-1)x)=((sqrt(5)-1)/2) d. tan(cos^(-1)x)=((sqrt(5)-1)/2)

Find the principal value of the following cos e c^(-1)(2) (ii) tan^(-1)(-sqrt(3)) cos^(-1)(1/(sqrt(2)))