Question

Prove the following identities :

Answer 1

...........................like this

Answer 2

1)
LHS = sin∅tan∅/1-cos∅

LHS = sin∅×sin∅/cos∅/1-cos∅

LHS = sin²∅/cos∅/1-cos∅

LHS = sin²∅/cos∅ × 1/1-cos∅

LHS = 1-cos²∅/cos∅ × 1/1-cos∅

LHS = (1+cos∅)(1-cos∅)/cos∅ × 1/1-cos∅

LHS = 1+cos∅/cos∅

LHS = 1/cos∅ + cos∅/cos∅

LHS = sec∅ + 1

LHS = RHS
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2)
LHS = cos∅cot∅/1+sin∅

LHS = cos∅×cos∅/sin∅/1+sin∅

LHS = cos²∅/sin∅ × 1/1+sin∅

LHS = 1-sin²∅/sin∅ × 1/1+sin∅

LHS = (1+sin∅)(1-sin∅)/sin∅ × 1/1+sin∅

LHS = 1-sin∅/sin∅

LHS = cosec∅ - 1

LHS = RHS
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