Without using trigonometrical tables; prove `(sin theta)/(sin(90-theta))+(cos theta)/(cos(90^(@)-theta))=sec theta*cosec theta`

sin theta cos(90^(@)-theta)+cos theta sin(90^(@)-theta)

sin theta cos(90^@ -theta) +cos theta sin(90^@ -theta) = ?

Prove the following: sin theta sin(90^(@)-theta)-cos theta cos(90^(@)-theta)=0

Prove the following: sin theta sin(90^(@)-theta)-cos theta cos(90^(@)-theta)=0

Prove that: sin theta(1+ tan theta) + cos theta (1+ cot theta) = sec theta + "cosec" theta

Prove that: sin theta (1 + tan theta) + cos theta (1+ cot theta) = sec theta + cosec theta .

(sin theta)/(cosec theta)+(cos theta)/(sec theta)=1

Prove that : (sin theta)/(1+cos theta) + (1+cos theta)/(sin theta)= 2 cosec theta .

Evaluate sin theta sec (90 - theta) + cos theta cosec (90 - theta) .

Without using Trigonometric Tables evaluate the following :- sinthetacostheta-(sinthetacos(90^@-theta) costheta)/(sec(90^@-theta))-(costhetasin(90^@-theta)sintheta)/(cosec(90^@-theta)) .