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

Find -the least value of sec^2theta+cos^2theta

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

If tan theta =3/4 , find the value of cos^2 theta - sin^2 theta .

If sin theta = 5/13 , find the value of (cot theta + cosec theta) .

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

If sin theta-cos theta=0 ,find the value of sec theta+ cosec theta

If sqrt3tantheta=1(0^@<0<90^@) ,find the value of sin^2theta-cos^2theta

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

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

If sec theta=4 , find the value of cos theta/(4cos^2 theta+3sin^2 theta) .