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Prove the following identities, where the …

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Prove the following identities, where the angles involved are acute angles for which the expressions are defined. (cosec Φ-cot Φ)^2=1-cosΦ/1+cosΦ
  • 4 answers

Dhyey Sonani 5 years, 2 months ago

From LHS (CosecA-cotA)² =(1/sinA - cosA/sinA)² ={(1-cosA) /sinA}² =(1-cosA) ² /sin²A =(1-cosA) ²/ (1-cos²A) =(1-cosA) (1-cosA) / (1-cosA) (1+cosA) =(1-cosA) /(1+cosA) =RHS

Aditya Kumar 5 years, 2 months ago

From LHS (CosecA-cotA)² =(1/sinA - cosA/sinA)² ={(1-cosA) /sinA}² =(1-cosA) ² /sin²A =(1-cosA) ²/ (1-cos²A) =(1-cosA) (1-cosA) / (1-cosA) (1+cosA) =(1-cosA) /(1+cosA) =RHS

Riya Philip 5 years, 2 months ago

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Riya Philip 5 years, 2 months ago

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