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

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

Find the angle theta , 0 sin theta = 0.5373 .

Find the angle theta , 0 cos theta = 0.0087 .

Find the angle theta , 0 cot theta = 0.5750 .

Find the angle theta , 0 log sin theta =-0.5 .

Find an angle theta,0

Find the angle theta,0lttheta le90^(@) ,If (i) "sin" theta=0.5373 (ii) cos theta=0.0087 (iii) cot theta=0.5750 (iv) log sin theta=-0.5 .

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

A body is thrown at an angle theta_0 with the horizontal such that it attains a speed equal to sqrt((2)/(3)) times the speed of projection when the body is at half of its maximum height. Find the angle theta_0 .

A body is thrown at an angle theta_0 with the horizontal such that it attains a speed equal to (sqrt((2)/(3)) times the speed of projection when the body is at half of its maximum height. Find the angle theta_0 .