Simplifying Trig Expressions?

2016-07-29 7:42 am
Simplify 1+cot^2x / secx.

PLEASE HELP. Please show work.

回答 (1)

2016-07-29 7:50 am
(1 + cot²x) / secx
= [1 + (cos²x / sin²x)] / (1 / cosx)
= [(sin²x + cos²x) / sin²x] / (1 / cosx)
= (1 / sin²x) / (1 / cosx)
= cosx / sin²x

(The answer can be rewritten as secx cotx.)


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