prove that (tan theta +cot theta )^2-(tan theta -cot theta )^2= 4
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(tanα+cotα)^2 - (tanα -cotα)^2
=tan^2α + 2.tanα.cotα+cot^2α - tan^2α + 2.tanα.cotα - cot^2α [tanα.cotα = 1 ]
=4.tanα.cotα
=4
=tan^2α + 2.tanα.cotα+cot^2α - tan^2α + 2.tanα.cotα - cot^2α [tanα.cotα = 1 ]
=4.tanα.cotα
=4
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answer is in above picture
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