Why is cos⁡(α+β)+cos⁡(−α)sin⁡(α+β)+sin⁡(−α) independent of α?

Kinsley Moon

Kinsley Moon

Answered question

2022-01-24

Why is cos⁡(α+β)+cos⁡(−α)sin⁡(α+β)+sin⁡(−α) independent of α?

Answer & Explanation

Prince Huang

Prince Huang

Beginner2022-01-25Added 15 answers

cos⁡(α+β)+cos⁡(−α)=2cos⁡α+α+β2cos⁡α+β−α2=2cos⁡{β2}cos⁡(α+β2)
sin⁡(α+β)+sin⁡(−α)=2sin⁡α+β−α2cos⁡α+β−(−α)2=2sin⁡β2cos⁡(α+β2)

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