" Simplify: "sin theta(cosec theta-sin theta)

Simplify [(sin theta)/(cos theta)+(cos theta)/(sin theta)]^(2)

[[ Simplify :cos thetacos theta,sin theta-sin theta,cos theta]]+sin theta[[sin theta,-cos thetacos theta,sin theta]]

If ("cosec" theta+sin theta)/("cosec" theta-sin theta)=(5)/(3) , calculate the value of sin theta .

(cosec theta+sin theta)(cosec theta-sin theta)=cot^(2)theta+cos^(2)theta

Simplify, costheta[[cos theta, sin theta],[-sin theta, cos theta]] + sin theta [[sin theta, -cos theta],[cos theta, sin theta]]

Prove the following identity : sin theta cot theta+ sin theta cosec theta=1 + cos theta .

For theta in (0,pi/2) , let L=(sin theta)^(sin theta)+(cosec theta)^(cosec theta) and M=(sin)^(cosec theta)+(cosec theta)^(sin theta) , then -

For theta in (0,pi/2) , let L=(sin theta)^(sin theta)+(cosec theta)^(cosec theta) and M=(sin)^(cosec theta)+(cosec theta)^(sin theta), then -

For theta in (0,pi/2) , let L=(sin theta)^(sin theta)+(cosec theta)^(cosec theta) and M=(sin)^(cosec theta)+(cosec theta)^(sin theta) , then -