The function `f(theta)=d/(d(theta))int_0^theta(dx)/(1-costhetacosx)` satisfies the differential equation

A function f(theta)=sin^(2)theta+3sin theta cos theta+5cos^(2)theta is defined AA theta in R . Another function g(theta)=f((pi)/(2)-theta) at the point theta where f(theta) is minimum, then thevalue of (1)/(g(theta)) is

Range of f(theta)=cos^2theta(cos^2theta+1)+2sin^2theta is

Find (dy)/(dx)," if "x= a(theta+ sin theta), y= a(1- cos theta) .

If f(theta)=|sinthetacosthetasintheta costhetasinthetacostheta costhetasinthetasintheta| , then f(theta)=0 has exactly 2 real solutions in [0,pi] f(theta)=0 has exactly 3 real solutions in [0,pi] range of function (f(theta))/(1-sin2theta)i s[-sqrt(2),sqrt(2)] range of function (f(theta))/(sin2theta-1)i s[-3,3]

The period of the function f( theta ) = 4 + 4 sin ^3 theta -3 sin theta is

y = tan theta ( sin theta + cos theta) find (dy)/(d theta) .

Evaluate int_(0)^(pi//2)(costheta)/((1+sintheta)(2+sintheta))d theta

Let f(theta)=sin theta(sin theta +sin 3 theta). " Then " f(theta)

Evaluate: int_(0)^(pi/2)(costheta)/((1+sintheta)(2+sintheta))d theta .