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Please help - trig identity
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5 votes
Please help - trig identity

Please help - trig identity-example-1
User Yash Sharma
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1 Answer

5 votes

Answer:

Explanation:


LHS=cosec(x)-cosec(x)cos^(2) (x)\\\\LHS=cosec(x)-cosec(x)(1-sin^(2) (x))\\\\LHS=cosec(x)-cosec(x)+cosec(x)*sin^(2) (x)\\\\LHS=cosec(x)-cosec(x)+cosec(x)(1)/(cosec^(2)(x) ) \\\\LHS=cosec(x)-cosec(x)+(1)/(cosec(x) )\\\\LHS=(cosec^(2)(x)-cosec^(2)(x)+1 )/(cosec(x)) \\\\LHS=(1)/(cosec(x)) \\\\LHS=sin(x)=RHS

Hence,LHS=RHS proved

User Zonble
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