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2 years ago

How do you find the general solution for cos2A=cos^2A

Mathematics

1 answer:

eduard2 years ago

6 0

Answer:

A = 0 +/- nπ radians , where n is an integer.

Step-by-step explanation:

cos 2A = cos^2 A

Use the identity cos 2A = 2 cos^2 A -1 :

2cos^2 A - 1 = cos^2 A

cos^2 A = 1

Cos A = +/-1

When cos A = 1, A = 0 +/- 2nπ radians.

when cos A = -1, A = π +/- nπ radians.

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