`tan theta+cos theta=2sec theta`

Prove that : (sin^(2)theta)/(cos theta)+cos theta=sec theta

Solve sin^2 theta tan theta+cos^2 theta cot theta-sin 2 theta=1+tan theta+cot theta

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that 1 + tan 2 theta tan theta = sec 2 theta .

For all theta, tan theta+ cos theta + tan (-theta) + cos(-theta)=

Prove that ((1+cot theta +tan theta)(sin theta - cos theta))/(sec ^3 theta -cosec^3 theta) = sin^2 theta cos^2 theta.

If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a. sec theta-tan theta, b. sec theta + tan theta, c. tan theta-sec theta, d. none of these

Prove the identity ("sin"theta+"cos"theta)("tan"theta+"cot"theta)="sec"theta+"cosec"theta

(2sec theta+3 tan theta+5 sin theta -7cos theta+5)/(2tan theta+3 sec theta+5 cos theta +7sin theta+8)= (a) tan (theta/2) (b) cot (theta/2) (c) sec (theta/2) (d) cosec (theta/2)

Prove the following identities: (tantheta-cottheta)/(sinthetacostheta)=sec^2theta-cos e c^2theta=tan^2theta-cot^2theta