idanheat idanheat
  • 10-02-2019
  • Mathematics
contestada

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

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sqdancefan
sqdancefan sqdancefan
  • 10-02-2019

Answer:

  -0.899

Step-by-step 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.

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