Find the value of `"cos"(2cos^(-1)x+sin^(-1)x)` at `x=1/5,` where `0lt=pi` and `-pi/2lt=sin^(-1)xlt=pi/2dot`

Find the value of cos(2cos^(-1)x+sin^(-1)x) at x=(1)/(5), where 0<=pi and -(pi)/(2)<=sin^(-1)x<=(pi)/(2)

The value of sin^(-1)(cos(cos^(-1)(cos x)+sin^(-1)(sin x))) where x in((pi)/(2),pi), is equal to (pi)/(2)(b)-pi(c)pi (d) -(pi)/(2)

Find the range of f(x) = (sin^(-1) x)^(2) + 2pi cos^(-1) x + pi^(2)

What is the sign of cos( x/2) – sin(x/2) when (i) 0lt x lt pi/4 (ii) (pi)/(2)lt xlt pi

The values of x which satisfy 18(sin^(-1)x)^(2)-9pi sin^(-1)x +pi^(2)lt 0 and 18(tan^(-1)x)^(2)-9pi tan^(-1)x + pi^(2)lt 0 simultaneously are

Solve the equation (sinx+cosx)^(1+sin2x)=2, when 0lt=xlt=pi