Question

Prove that (1+ cotA - cosecA)+
(1 + tan A + secA) = 2
​

Answer 1

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Refer attachment.

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Answer 2

Refer to the attachment

Trigonometric Identity Used

=> Sin²A + Cos²A = 1

=> CotA = CosA/SinA

=> TanA = SinA/CosA

=> CosecA = 1/SinA

=> SecA = 1/CosA

Other identity used

=> (a+b)(a-b) = a² - b²