For `theta in (0,pi/2),p rov et h a tint_0^theta"log"(1+tanthetatanx)dx=thetalog(sectheta)`

Find the values of theta in the interval (-pi/2,pi/2) satisfying the equation (1-tantheta)(1+tantheta)sec^2theta+2^tan^(2theta)=0

For all theta in [ 0, pi//2] , show that cos ( sin theta) gt sin (cos theta) .

Prove that int_(0)^((pi)/(2)) log ( tan x ) dx = 0

Prove that int_(0)^(pi/4)log(1+tanx)dx=(pi)/(8) log2.

Prove that sin^2theta

If theta=pi/(4n) then the value of tanthetatan(2theta)tan(3theta)....tan((2n-1)theta) is

The number of values of theta in the interval [-pi/2,pi/2] and theta!=(npi)/5 is where n=0,+-1,+-2 and tantheta=cot(5theta) and sin(2theta)=cos(4theta) is

Evaluate: int_(0)^(pi//2) sqrtsinthetacos^(5)theta d theta

Find the number of solution of theta in [0,2pi] satisfying the equation ((log)_(sqrt(3))tantheta(sqrt((log)_(tantheta)3+(log)_(sqrt(3))3sqrt(3))=-1