prove tanA/(1+tan square A) square+cot/(1+cot square A) square=sinAcosA
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Step-by-step explanation:
= tan A / sec⁴A + cot A / cosec⁴A
sin A / cosA cosA / sin A
= ----------------- + -----------------------
1/ cos⁴A 1 / sin⁴A
= sin A / cos³A + cosA/ sin³A
= sin⁴A / cos³A +cos⁴A/sin³A
= sin⁴ A + cos⁴A/ sin³Acos³A
= sinA x cosA
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