Which one is greater: `cos(log_e theta)or log_e(costheta)` if `-pi/2ltthetaltpi/2`

The larger of cos[log(theta)] and log(costheta) if e^(-pi/2) < theta < pi/ 2 is

Which is smaller? 2 or (log_(("e"-1))2+log_2(e-1))

int cos (log_e x)dx is equal to

The nth term of log_(e)2 is

The 8^(th) term of log_(e )2 is

Prove: (costheta)/(cos e c\ theta+1)+(costheta)/(cos e c\ theta-1)=2tantheta

Prove that: ("cos"(2pi+theta)"c o s e c"(2pi+theta)"tan"(pi//2+theta))/("sec"(pi//2+theta)costheta"cot"(pi+theta))=1

Evaluate: int_(-pi)^(3pi)log(s e c theta-t a ntheta)d theta

The possible value of theta in [-pi, pi] satisfying the equation 2(costheta + cos 2theta)+ (1+2costheta)sin 2theta = 2sintheta are

The 3^(rd) term of log_(e) 2 is