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Help.................................please prove it​

Answer»

Answer:

LHS = RHS

Step-by-step EXPLANATION:

 Solving LHS

\implies \mathrm{\dfrac{cos\theta cot\theta}{<klux>1</klux>+sin\theta} }

 Multiply as WELL as DIVIDE by 1 - sinθ:

\implies \mathrm{\dfrac{cos\theta cot\theta(1-sin\theta)}{(1+sin\theta)(1-sin\theta)} } \\\\\\\implies \mathrm{\dfrac{cos\theta cot\theta ( 1 - sin\theta)}{ 1 - sin^2 \theta} }\\\\\\\implies \mathrm{ \dfrac{cos\theta cot\theta ( 1- sin\theta )}{ cos^2 \theta } }\\\\\\\implies \mathrm{\dfrac{cot\theta( 1 - sin\theta )}{ cos\theta} } }\\\\\\\implies\mathrm{\dfrac{ cos\theta( 1 - sin\theta)}{sin\theta cos\theta }}\\\\\\\implies \mathrm{\dfrac{1- sin\theta}{sin\theta }}\\\\\\\implies \mathrm{ cosec\theta - 1}


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