Trig

Use the fundamental identities to simplify the expression:

cot beta sec beta

I used 1+tan^2u=secu since cot is the inverse of tan. I flipped the tangent, then so it was 1+ (1/tan). But the book's answer is the cosecant of beta. Where did this come from??

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  1. Fundamental identities include:
    cot(β)=cos(β)/sin(β)
    sec(β)=1/cos(β), and
    csc(β)=1/sin(β)

    I will let you take it from here.

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  2. Is the right answer 1/sinB?

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  3. That's correct, although 1/sin(β) is generally written as csc(β), as your answer indicates.

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