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(a) What is the exact value of cos 510˚

1 Answer

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Answer:

The answer to your question is cos 510 = -
(√(3))/(2)

Explanation:

Data

cos 510° = ?

Process

1.- Find an equivalent angle to 510° subtracting 360°

510 - 360 = 150°

That means that if we calculate the cos 150 will be the same as cos 510

2.- Calculate the cos 150°

150° is located in the second quadrangle. In this quadrangle cosine is negative.

Also, cos 150° = 180° - 30°

If we calculate the cosine of angle 30° will be the same value of cos 150° and the same of cos 510° but with negative sign.

cos 30° =
(√(3))/(2) cos 150° =
- (√(3))/(2) and cos 510° =
- (√(3))/(2)

User Hemangi Gokhale
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