Question

Sin square theta tan theta + cos square theta cot theta + 2 sin theta cos theta equals to tan theta + cot theta

Answer 1

Answer:

Step-by-step explanation:

L.H.S:

sin²θtanθ+cos²θcotθ+ 2sinθcosθ

= sin³θ/cosθ + cos³θ/sinθ + 2sinθcosθ

= sin⁴θ + cos⁴θ+ 2sin²θcos²θ/sinθcosθ

= (sin²θ + cos²θ)²/sinθcosθ

= 1/sinθcosθ.

= (sin²θ + cos²θ) / sinθcosθ

= sin²θ/sinθcosθ + cos²θ/sinθcosθ

= sinθ/cosθ + cosθ/sinθ

=  tanθ +  cotθ

= R.H.S

Answer 2

Answer:

plz ignore the mistakes.....

Step-by-step explanation:

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