Question

Q1.Solve the trigo. equartion ?

Answer 1

Heya mate, Here is ur answer

Taking LHS

(sin A + Cosec A)^2 +(cos A+ sec)^2

= sin ^2 A + cosec ^2 A + 2 sin A cosec A + cos ^2 A + sec ^2 A + 2cos A sec A

= sin ^2 A+Cos ^2 A + + cosec ^2 A + sec^2 A + 2 sin A cosec A + 2 cos A sec A

= 1 + (1 + cot ^2 A) + (1 + tan^2 A) + 2 sin A ×1/sinA +2 cos A ×1/cos A

= 1 + 1 + cot ^2 A + 1 + Tan^2 A + 2 + 2

= 7+ Tan^2 A + cot ^2 A

= RHS

$<b><u>Identities used</u></b>$---

⏩(a+b)^2 = a^2 +b^2 +2ab

⏩sin ^2 A+ cos ^2 A = 1

⏩ cosec^2 A =1+ cot^2 A

⏩ sec^2 A =1+Tan^2 A

⏩Cosec A =1/Sin A

⏩sec A =1/cos A


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Warm regards

@Laughterqueen

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