Let `f(theta)=1/(1+(cottheta)^x)` , and `S=sum_(theta=1^0)^(89^0)f(theta),` then the value of `sqrt(2S-8)` is___________

Let f(theta)=cottheta/(1+cottheta) and alpha+beta=(5pi)/4 then the value f(alpha)f (beta) is

int_(0)^(pi/3) tantheta/(sqrt(2ksectheta))d theta=1-1/sqrt2,(kgt0) , then the value of k is

Given that f(ntheta)=(2sin2theta)/(cos2theta-cos4ntheta), and f(theta)+f(2theta)+f(3theta)++f(ntheta)=(sinlambdatheta)/(sinthetasinmutheta), then the value of mu-lambda is ______

If f(theta)=(1-sin2theta+cos2theta)/(2cos2theta) , then value of 8f(11^0)*f(34^0) is ____

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

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

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

If the points (1,1):(0,sec^2theta); and (cos e c^2theta,0) are collinear, then find the value of theta

Prove that (sec 8theta-1)/(sec 4 theta -1) = (tan 8theta)/(tan 2theta)

sqrt((1+ cos theta)/( 1- cos theta)) + sqrt((1- cos theta)/( 1 + cos theta )) ( 0 lt theta lt pi ) is