Question

Prove the following identities , where the angles involved are acute angles for which the trigonometric ratios are defined
cot A/cosecA+1. + cosecA+1/cotA= 2secA
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Answer 1

To prove: cot A/(cosecA + 1) + (cosecA + 1)/cot A = 2secA

Proof:

(See attachment.)

Main concepts used:

• cot A = cos A / sin A
• sin^2 A + cos^2 A = 1
• sec A = 1/cos A.