Find the exact value of tan22.5 using the half angle formula.

asked Apr 6, 2017 209k views

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1 vote

Answer:

C on Edge

Explanation:

I got it right on the test

Brunner answered Apr 8, 2017

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tan(a/2) = sin a / (1 + cos a)
tan(45/2) = sin(45) / (1 + cos(45)) = (1/√2) / (1 + 1/√2) = (1/√2) / (√2 + 1)/√2 = 1/(√2 + 1) = (√2 - 1)

Alan Kinnaman answered Apr 11, 2017

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