tan theta+2tan2 theta+4cot4 theta=cot theta

Given that cot theta-tan theta=2cot2 theta , cot theta+tan theta=2cosec2 theta and cot theta-cot2 theta=cosec2 theta, Tan alpha + 2Tan2 alpha+4Tan4 alpha+.....2^(n)Tan2^(n)alpha=cot alpha-1024cot1024 alpha Then n= a) 10 b) 9 c) 11 d) 8

The value of cot theta-tantheta-2tan2theta-4tan4theta-8cot8theta, is

The value of cot theta-tantheta-2tan2theta-4tan4theta-8cot8theta, is

Solve sin^2 theta tan theta+cos^2 theta cot theta-sin 2 theta=1+tan theta+cot theta

Let theta in (0,pi/4) and t_(1) = (tan theta)^(tantheta) and t_(2) = (tan theta)^(cottheta),t_3=(cot theta)^(tan theta) and t_4=(cot theta)^(cot theta) , then :

tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 cot 8 theta = cot theta.

tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 cot 8 theta = cot theta.