`cos^(- 1)xsqrt(3)+cos^(- 1)x=pi/2`

The exhaustive set of values of a for which a-cot^(-1)3x=2tan^(-1)3x+cos^(-1)xsqrt(3)+sin^(-1)xsqrt(3) may have solution is

Find the value of x satisfying the equation 2cos^(-1)(1-x)-3cos^(-1)x=pi

cos^(-1)(2xsqrt(1-x^(2)))

Prove that cos^(-1)(x)+ cos^(-1){(x)/(2)+sqrt(3-3x^(2))/(2)}=(pi)/(3) .

(i) Evaluate : sec (cos^(-1).(1)/(2)) (ii) slove the equations sin^(-1) x + sin^(-1) y = (2pi)/(3) and cos^(-1) x - cos ^(-1) y = (pi)/(3)

Solve : sin ^(-1) x+sin ^(-1) ""y=(2pi)/(3) and cos ^(-1) x- cos ^(-1)y =(pi)/(3).

sin^(-1)x-sin ^(-1)y=(pi)/(3) and cos^(-1) x+ cos ^(-1) y=(2pi)/(3)