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matrenka [14]
3 years ago
8

Why does sin54°≈0.809≈cos36° in a right triangle?

Mathematics
1 answer:
allsm [11]3 years ago
7 0

9514 1404 393

Answer:

A

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are <em>complementary</em> (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

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3 years ago
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8 0
3 years ago
Jeff has five less than twice the number of clients that Kenan has. The product of the number of clients they have is 322. Write
HACTEHA [7]

Answer:

The equation that represents this situation is 2c² - 5c - 322 = 0

Step-by-step explanation:

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6 0
3 years ago
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Read 2 more answers
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sweet-ann [11.9K]

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7 0
3 years ago
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