Prove the following trigonometric identities:
cotA-cosA/cotA+cosA=cosecA-1/cosecA+1
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cotA - cosA / cotA + cosA = cosecA -1 / cosecA + 1 proved
Step-by-step explanation:
To prove: cotA - cosA / cotA + cosA = cosecA -1 / cosecA + 1
Proof:
LHS (cotA - cosA) / (cotA + cosA) = (cosA/SinA - CosA) / (CosA/SinA + CosA)
= CosA(1/SinA - 1) / CosA(1/SinA + 1)
= (1/SinA - 1) / (1/SinA + 1)
= CosecA - 1 / CosecA + 1
LHS = RHS
Hence proved.
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