Establish the identity. csc minus cot u = sin u/1 +cos u Write the left side in

Question

Establish the identity. csc minus cot u = sin u/1 +cos u Write the left side in terms of sine and cosine. Simplify by writing the expression from the previous step over a common denominator. Rewrite the expression from the previous step by multiplying the numerator and denominator by 1 + cos u. Write the numerator of the expression from the previous step in terms of sine. The fraction from the previous step then simplifies to sin u/1 + cos u using what?. Quotient Identity Even-Odd Identity Cancellation Property Pythagorean Identity Reciprocal Identity

Explanation / Answer

cscu -cotu = sinu/(1+cosu)

LHS : 1/sinu - cosu/sinu

common denominator : (1-cosu)/sinu

multiply denominator and numerator with (1+cosu) : (1- cos^2u)/sinu(1+cosu)

= sin^2u/sinu(1+cosu)

=sinu/(1+cosu)

We use Pythagorean identity to simplify

Option D

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