In terms of sine only

Question

1+coty
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sinycosy

Answer 1

Quotient Identities: cot(y) = cos(y)/sin(y).

Rewrite the expression with common denominator. (only nominator)

Comments

The expression (1 + cot y)/(sin y cos y) in terms of sine.

Answer 2

The expression is .

Ratio identity : .

Multiply numerator and denominator by 2.

Double angle identity : .

Multiply numerator and denominator by cos y.

Pythagorean identity : .

Multiply numerator and denominator by 2.

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