[" 5( ) Prove that "],[qquad (" Cosee "theta-eot theta)=1-cos theta],[qquad 1+cos theta]

Prove (cos ec theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

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

Prove that (cos^3 theta-sin^3 theta)/(cos theta-sin theta) = 1+cos theta sin theta

Prove that : (cos theta)/(1-tan theta)+(sin theta)/(1-cot theta)=sin theta+cos theta

Prove that (cos ec theta-sin theta)(sec theta-cos theta)=(1)/(tan theta+cot theta)

Prove that (cos ec theta-sin theta)(sec theta-cos theta)=(1)/(tan theta+cot theta)

Prove that (cos ec theta-sin theta)(sec theta-cos theta)=(1)/(tan theta+cot theta)

Prove that (1+cos theta)/(1-cos theta)+(1-cos theta)/(1+cos theta)=4cot theta*cos theta

Prove that sin theta(1+tan theta)+cos theta(1+cot theta)=sec theta+cos ec theta

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