" 3."(1+cos x)^(x)

tan ^(-1)(sqrt((1-cos 3 x)/(1+cos x)))

Prove that ((sin ^ (3) x) / (1 + cos x) + (cos ^ (3) x) / (1-sin x)) = sqrt (2) sin ((pi) / (4) + x)

If p = cos x - sin x, q = (1 - sin ^(3) x)/( 1 - sin x) , r = (1 + cos ^(3) x)/( 1 + cos x) what is the value of p + q + r ?

lim_(n rarr0)(1-cos^(3)x+sin^(3)x+ln(1+x^(3))+ln(1+cos x))/(x^(2)-1+2cos^(2)x+tan^(4)x+sin^(3)x)

int_(1)^(3)(cos(log x))/(x)dx

int sqrt((cos x - cos^(3) x)/(1 -cos^(3) x)) dx =

int(1)/((3sin x+cos x)^(2))dx

tan ^(-1)(sqrt((1-cos 3 x)/(1+cos 3x)))