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The cosine of a certain fourth quadrant angle is 0.437. What is its sine?

User DDR
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1 Answer

4 votes

Answer:

-0.899

Explanation:

In the 4th quadrant, the sine is negative and the cosine is positive. The sine is ...

sin(-arccos(0.437)) ≈ -0.899

_____

You can also use the trig identity ...

sin(x) = -√(1 -cos(x)²) = -√(1 -.190969) = -√.809031 ≈ -0.89946150557

The sine is about -0.899.

User AiShiguang
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