What is sin/cos + cos/sin

sf2or5eek8

sf2or5eek8

Answered question

2023-01-18

What is sin/cos + cos/sin, and why?

Answer & Explanation

Jason Ramirez

Jason Ramirez

Beginner2023-01-19Added 3 answers

Considering that the following identities are known:
sin2(x)+cos2(x)=1
and
sin(2x)=2sin(x)cos(x)
sin(x)cos(x)+cos(x)sin(x)
=sin(x)cos(x)sin(x)sin(x)+cos(x)sin(x)cos(x)cos(x)
=sin2(x)+cos2(x)cos(x)sin(x)
=1cos(x)sin(x)
or
=2sin(2x)

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