If `sintheta+sinphi=a`,`costheta+cosphi=b`find the value of `tan((theta-phi)/2)`

If cos theta = 4/5 , find the value of (sec theta+tan theta) .

If cot 5 theta = tan 10 theta, then find the value of theta.

If cos 9 theta = sin theta and 9 theta < 90° then find the value of tan 5 theta.

Eliminate theta and phi sintheta+sinphi=a , costheta+cosphi=b , theta-phi =a

If tantheta=5/12 and and cos theta is negative, find the value of (sintheta+cos(-theta))/(sec(-theta)+tantheta)

If cos theta =-1/2 and piltthetalt3pi/2 ,find the value of 4tan^2 theta-3 cosec^2 theta .

If sec theta- tan theta=1/2 ,find the value of sec theta+ tan theta

If tan 2 theta = cot (theta - 18°), then the value of theta.

If sin theta=(a^2-b^2)/(a^2+b^2) ,then find the values of cosec theta .

If sec theta=sqrt(2) and 3pi/2ltthetalt2pi ,find the value of (1+tan theta+cos theta)/(1+cot theta-cosec theta)