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Keith_Richards [23]
3 years ago
15

Find the exact value

Mathematics
1 answer:
Leto [7]3 years ago
3 0

Since cos theta is 15/17, let a right triangle have a hypotenuse of 17 and a leg of 15. This means that the other is 8.

Sin 2 theta is a double angle identity.

Sin 2 theta  = 2 sin theta cos theta = 2(8/17)(15/17) = 240/289

Cos 2theta = cos^2 – sin^2 = (15/17)^2 – (8/17)^2 = 161/289

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