Question

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Prove that:
cosA ÷ 1+sinA + 1sinA ÷ cosA = 2 secA. with step by step explanation.....


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Answer 1

Step-by-step explanation:

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Answer 2

⭐Solution⭐

✔Given here

(cosx)/(1+sinx) + (1+sinx)/cosx= 2secx.

✅Take LHS.

= (cosx)/(1+sinx)+(1+sinx)/cosx

= [(cos²x)+(1+sin²x)²]/cosx(1+sinx)

= [( cos²x+sin²x+2sinx+1)/cosx(1+sinx)]

= [2(1+sinx)/cos(1+sinx)]

=2/cosx

= 2secx.

= R.H.S.

✨Thats proved ✨

➡Important Formula

(1). sin²x + cos²x = 1.

(2) cosx = 1/secx.

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