Meat2150 Meat2150
  • 18-01-2020
  • Mathematics
contestada

In a right triangle, the sine of an angle is 0.226. What is the cosine of the same angle?

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sqdancefan
sqdancefan sqdancefan
  • 18-01-2020

Answer:

  about 0.974

Step-by-step explanation:

The Pythagorean theorem tells you the other leg of the right triangle is ...

  cos(angle) = √(1 -sin(angle)²) = √(1 -0.051076) = √0.948924

  cos(angle) ≈ 0.974127 ≈ 0.974

__

You can use your calculator to find the angle, then its cosine:

  cos(angle) = cos(arcsin(0.226)) ≈ 0.974

You don't need to know the angle, and it doesn't matter whether it is in radians or degrees. (It is about 13.06° or 0.2280 radians.)

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