I would like to try and prove \frac{1+\sin x}{\cos x}=\frac{1+\sin x+\cos

bittercynicn7f

bittercynicn7f

Answered question

2022-03-01

I would like to try and prove
1+sinxcosx=1+sinx+cosx1sinx+cosx

Answer & Explanation

King Osborn

King Osborn

Beginner2022-03-02Added 6 answers

1+sinxcosx
=(1+sinx)(1sinx+cosx)(cosx)(1sinx+cosx)
=1sin2x+cosx+cosxsinx(cosx)(1sinx+cosx)
=cos2x+cosx+cosxsinx(cosx)(1sinx+cosx)
=(cosx)(1+sinx+cosx)(cosx)(1sinx+cosx)
=1+sinx+cosx1sinx+cosx

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