How to simplify csc x(sin x + cos x)?

Fabian Atkins

Fabian Atkins

Answered question

2023-01-07

How to simplify cscx(sinx+cosx)?

Answer & Explanation

swtladierov

swtladierov

Beginner2023-01-08Added 8 answers

Knowing the two identities
cscx=1sinx and cotx=cosxsinx,
You can make it simpler by saying:
cscx(sinx+cosx)=1sinx(sinx+cosx)
=sinxsinx+cosxsinx
=1+cosxsinx
=1+cotx

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