please answer the question as fast as you can plzzzzzzzzzzzzzzzzz I will mark the correct answer as the brainliest answer step by step explanation
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⭐Solution⭐
➡Proof that
Cosx /(1-sinx) + (1-sinx)/cosx = 2secx
✔take LHS,
= Cosx /(1-sinx) + (1-sinx)/cosx
= [(cos²x)+(1-sinx)²]/cosx(1-sinx)
= [ cos²x +sin²x+1-2sinx]/[cosx(1-sinx)]
= 2(1-sinx)/cosx(1-sinx)
= 2/cosx
= 2secx
= RHS
✨Thats proved ✨
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