Can \frac{\csc \alpha+\cos \alpha}{ \cos \alpha−\tan \alpha−\sec \alpha} be simplified?

Gwendolyn Giles

Gwendolyn Giles

Answered question

2022-01-26

Can cscα+cosαcosαtanαsecα be simplified?

Answer & Explanation

coolbananas03ok

coolbananas03ok

Beginner2022-01-27Added 20 answers

If you multiply the numerator and denominator of your last expression by 4(1sinα) and use the identity sin2α=2sinαcosα, you can rewrite your result as
(1cscα)(2csc2α+1)
This reduces the original 24 symbols to 17.

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