" 32."(1)/(1+cos x)

logsqrt((1-cos x)/(1+cos x))

logsqrt((1-cos x)/(1+cos x))

sin ^ (2) A cos ^ (4) A = (1) / (16) + (1) / (32) cos2A- (1) / (16) cos4A- (1) / (32) cos6A

tan^(-1){(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))}

int(1-cos x)/(cos x(1+cos x))dx

(cos x)/(1-sin x)=(1+cos x+sin x)/(1+cos x-sin x)

32.If x+(1)/(x)=2 then x^(100)-(1)/(x^(100)) is

Let A = [[cos ^ (- 1) x, cos ^ (- 1) y, cos ^ (- 1) zcos ^ (- 1) y, cos ^ (- 1) z, cos ^ (- 1) xcos ^ (- 1) y, cos ^ (- 1) z, cos ^ (- 1) xcos ^ (- 1) z, cos ^ (- 1) x, cos ^ (- 1) y]] such x + y + z is