सिद्ध कीजिए कि -
`(tan(360^(@)+theta)+cot(90^(@)-theta))/(1+tan(180^(@)-theta)cot(270^(@)+theta))=2sinthetacostheta`

(sin(-theta)tan(90^@+theta)tan(180^@-theta))/(sin(180^@-theta)cos(90^@-theta)cos360^@-theta))=sec theta cosec theta

Prove that: (sin(180^(@)+theta)cos(90^(@)+theta)tan(270^(@)-theta)cot(360^(@)-theta))/(sin(360^(@)-theta)cos(360^(@)+theta)cos ec(-theta)sin(270^(@)+theta))=1

(cot(90^(@)-theta)sin(180^(@)-theta)sec(360^(@)-theta))/(tan(180^(@)+theta)sec(-theta)cos(90^(@)+theta))

(cos theta)/(sin(90^(@)+theta))+(sin(-theta))/(sin(180^(@)+theta))-(tan(90^(@)+theta))/(cot theta)

sin(90+theta)+cos(90-theta)+tan(180-theta)+cot(180+theta)

(sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec"(90^(@)+theta)) .

(tan theta)/((1+tan^(2)theta)^(2))+(cot theta)/((1+cot^(2)theta)^(2))=sin theta cos theta

( tan^(3) theta )/( 1+ tan^(2) theta )+ ( cot^(3) theta )/( 1+ cot^(2) theta )=