Find an angle `theta, 0 lt theta lt pi/2`, which increases twice as fast as its sine.

Find angle theta , 0 < theta < pi/2 , which increase twice as fast as sine

Find an angle theta , which increases twice as fast as its sine.

Find an angle theta , which increases twice as fast as it sine.

Find an angle theta , which increases twice as fast as its cosine.

Find an angle theta (i) Which increases twice as fast as its cosine. (ii) Whose rate of increase twice is twice the rate of decrease of its consine.

Find an angle theta , whose rate of increase is twice as the rate of decrease of its cosine.

Solve tan theta tan 4theta=1 for 0 lt theta lt pi .

Let veca, vecb,vecc be unit vectors, equally inclined to each other at an angle theta, (pi/3 lt theta lt pi/2) . If these are the poisitions vector of the vertices of a trinalge and vecg is the position vector of the centroid of the triangle, then:

Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

If the equation x^2 +4x sintheta + tantheta=0\ (0 < theta < pi/2) has repeated roots, then theta equals (i) pi/12 (ii) pi/6 (iii) pi/12 or (5pi)/12 (iv) pi/6 or pi/12