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Find the value of the given trigonometric functions;
cos 7π/6

2 Answers

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Final answer:

The value of cos (7π/6) is -√3/2.

Step-by-step explanation:

The value of cos (7π/6) can be found by referring to the unit circle.

Since 7π/6 is in the third quadrant, the reference angle is π/6.

In the third quadrant, the cosine function is negative.

Therefore, cos (7π/6) = -cos (π/6) = -√3/2.

User Tanina
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7.6k points
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Final answer:

The value of the given trigonometric functions os 7π/6 is -√3/2.

Step-by-step explanation:

To find the value of cos(7π/6), we can use the unit circle.

The angle 7π/6 is in the third quadrant, so the cosine function will be negative.

The reference angle is π/6, which corresponds to a 30-degree angle in the first quadrant.

Since the cosine function is negative in the third quadrant, we know that cos(7π/6) = -cos(π/6).

The value of cos(π/6) is √3/2, so cos(7π/6) = -√3/2.

So therefore the value of cos(7π/6) is -√3/2.

User Tylkonachwile
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7.6k points