Verify the identity cos⁡x1−sin⁡x−tan⁡x=1cos⁡x

permaneceerc

permaneceerc

Answered

2021-01-28

Verify the identity cosx1sinxtanx=1cosx

Answer & Explanation

Elberte

Elberte

Expert

2021-01-29Added 95 answers

cos(x)1sin(x)tan(x)=
cos(x)1sin(x)sin(x)cos(x)=
(cos2(x)sin(x)1sin(x)cos(x)(1sin(x))=
cos2(x)sin(x)+sin2(x)cos(x)(1sin(x))=
1sin(x)cos(x)(1sin(x))=
1cos(x)QED

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