Question

Prove that........

cos∅/1-tan∅ + sin∅/1-cot∅= cos∅+sin∅


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Answer 1

Your solution is in the attachment......!!!!

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Answer 2

Explanation:

Given : cos ∅ / (1 - tan ∅) + sin∅ /(1 - cot ∅)

= cos² ∅/(cos ∅ - sin ∅) + sin² ∅/(sin ∅ - cos ∅)

= cos²∅/(cos ∅ - sin ∅) - sin² ∅ / (cos ∅ - sin ∅)

= (cos² ∅ - sin² ∅) / (cos ∅ - sin ∅)

= (cos ∅ + sin ∅) (cos ∅ - sin ∅) / (cos ∅ - sin ∅)

= (cos ∅ + sin ∅).

Hope it helps!