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Aneli [31]
2 years ago
9

Can someone help will mark brainlist

Mathematics
1 answer:
Natali [406]2 years ago
8 0

Answer:

The answer is

\frac{13}{60}

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cos 2Ф = - 161/289 , tan 2Ф = - 240/161

Step-by-step explanation:

* Lets explain how to solve the problem

∵ cos Ф = - 8/17

∵ Ф lies in the 3rd quadrant

- In the 3rd quadrant sin and cos are negative values, but tan is

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∵ sin²Ф + cos²Ф = 1

∴ sin²Ф + (-8/17)² = 1

∴ sin²Ф + 64/289 = 1

- Subtract 64/289 from both sides

∴ sin²Ф = 225/289 ⇒ take √ for both sides

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∵ cos 2Ф = 2cos²Ф - 1 ⇒ the rule of the double angle

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∵ tan 2Ф = sin 2Ф/cos 2Ф

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∴ tan 2Ф = (240/289)/(-161/289) = - 240/161

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abcdefghigklmanp der gan gang

Step-by-step explanation:

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