The sum of all the solutions of `cottheta=sin2theta(theta!=npi, n ` integer) , `0lt=thetalt=pi,` is (a)`(3pi)/2` (b) `pi` (c) 3`pi/4` (d) `2pi`

Find the sum of all the solution of the equation cos theta-sin3 theta=cos2 theta in[0,2 pi]

If 3 sin 2 theta = 2 sin 3 theta and 0 lt theta lt pi , then sin theta =

The sum of all the solution of the equation cos theta cos((pi)/(3)+theta)cos((pi)/(3)-theta)=(1)/(4)theta in[0,6 pi] (A) 15 pi(B)30 pi(C)(100 pi)/(3) (D) none of these

The period of cos5 theta is (a) pi^(2) (b) 2 pi (c) 2 pi/5 (d) pi/3

If (1-tantheta)/(1+tantheta) = 1/sqrt3 , where theta in (0, pi/2) , then theta = (a) pi/6 (b) pi/4 (c) pi/12 (d) pi/3

The sum of all the solution in [0,4 pi] of the equation tan x+cot x+1=cos(x+(pi)/(4))is (a) 3 pi(b)(pi)/(2)(c)(7 pi)/(2) (d) 4 pi

A general solution of tan^(2)theta+cos2 theta=1 is (n in Z)n pi=(pi)/(4) (b) 2n pi+(pi)/(4)n pi+(pi)/(4) (d) n pi

The value of theta lying between 0 and pi/2 and satisfying the equation |(1+cos^2theta, sin^2theta, 4sin4theta),(cos^2theta, 1+sin^2theta, 4sin4theta),(cos^2theta, sin^2theta, 1+4sin4theta)|=0 is (are) (A) (7pi)/24 (B) (3pi)/8 (C) (11pi)/24 (D) (7pi)/12

If tan(picostheta)=cot(pisintheta),0lt thetalt(3pi)/(4), then sin(theta+(pi)/(4)) equals