3 years ago

Find all the solutions in the interval [0,2π) sin²x = 2-2cosX

Mathematics

1 answer:

Finger [1]3 years ago

5 0

Step-by-step explanation:

sin²x = 2 - 2cosx

1 - cos²x = 2 - 2cosx (because sin²x + cos²x = 1)

cos²x - 2cosx + 1 = 0

(cosx - 1)² = 0

cosx - 1 = 0

cosx = 1

Hence x = 0.

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