Prove cot theta+tan theta=(cosec theta)(...

Prove `cot theta+tan theta=(cosec theta)(sec theta)` by completing the following activity: LHS`=cot theta+tan theta` `=(cos theta)/(sin theta)+(square)/(cos theta)` `=(square +square)/(sin thetaxx co cos theta)` `=(square)/(sin thetaxx cos theta)` `=1/(square)xx1/(square)` `=cosec thetaxx sec theta` `=RHS` `:.cot theta+tan theta=cosec thetaxx sec theta`

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cos thetaxx sec theta= ..

Prove that: cot theta + tan theta = cosec theta sec theta .

prove that cot theta + tan theta = cosec theta. Sec theta

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

cos ec theta(sec theta-1)-cot theta(1-cos theta)=tan theta-sin theta

cos ect theta(sec theta-1)-cot theta(1-cos theta)=tan theta-sin theta

Prove the following identity : (sec theta-cos theta) (cosec theta-sin theta)=1/(tan theta+ cot theta) .

tan theta/(1-cot theta)+cot theta/(1-tan theta)=1+sec theta cosec theta