Use one or more of the six sum and difference identities to verify the identity.

Alyce Wilkinson

Alyce Wilkinson

Answered question

2021-08-11

Use one or more of the six sum and difference identities to verify the identity.
tan(π4θ)=cosθsinθcosθ+sinθ

Answer & Explanation

Bertha Stark

Bertha Stark

Skilled2021-08-12Added 96 answers

Solution:
tan(ab)=tanatanb1+tanatanb
tan(π4)=1
tana=sinacosa
tan(π4θ)=tan(π4)tanθ1+tanπ4tanθ
=1tanθ1+tanθ
=cosθsinθcosθ+sinθ
Proved.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?