I need to prove this identity, any idea on how I do it? sin 2 </msup> &#x2061

hornejada1c 2022-07-03 Answered
I need to prove this identity, any idea on how I do it?
sin 2 α cos 2 β = sin 2 β cos 2 α
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Answers (2)

Tristin Case
Answered 2022-07-04 Author has 15 answers
1 = sin 2 α + cos 2 α = sin 2 β + cos 2 β
Then by moving cosine's to other sides, we have
sin 2 α cos 2 β = sin 2 β cos 2 α
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sweetymoeyz
Answered 2022-07-05 Author has 8 answers
Simply think to use the identity sin 2 x + cos 2 x = 1. Using that for x=a and x=b you get:
sin 2 α + cos 2 α = 1
sin 2 β + cos 2 β = 1
Equating LHS, because RHS=1, you get:
sin 2 α + cos 2 α = sin 2 β + cos 2 β
Now, rearrange and prove the final identity:
sin 2 α cos 2 β = sin 2 β cos 2 α
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