cos(157(1)/(2))^(@)=-(1)/(2)sqrt(2+sqrt(2))

Find the value of 4cos[cos^(-1)((1)/(4)(sqrt(6)-sqrt(2)))-cos^(-1)((1)/(4)(sqrt(6)+sqrt(2)))] .

Find the value of 4cos[cos^(-1)((1)/(4)(sqrt(6)-sqrt(2)))-cos^(-1)((1)/(4)(sqrt(6)+sqrt(2)))] .

The value of cos^(-1)(cos(2tan^(-1)((sqrt(3)+1)/(sqrt(4-2sqrt(3)))))) is

The value of cos^(-1)(cos(2tan^(-1)((sqrt(3)+1)/(sqrt(4-2sqrt(3)))))) is

(sqrt((1)/(2)))sqrt(((1)/(2)+(1)/(2)sqrt(((1)/(2)))sqrt(((1)/(2)+(1)/(2)sqrt((1)/(2)+(1)/(2)sqrt((1)/(2)))))_(-.2))

Differentiate each of the following functions with respect to x:( i) sin^(-1)(2x sqrt(1-x^(2))),-(1)/(sqrt(2))

cos^(-1)((1)/(sqrt(2)))+sec^(-1)(-sqrt(2))

Prove that : "cos"^(-1)sqrt((2)/(3))-"cos"^(-1)(sqrt(6)+1)/(2sqrt(3))=(pi)/(6)