Question

prove tanA/(1+tan square A) square+cot/(1+cot square A) square=sinAcosA​

Answer 1

Answer:

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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