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liberstina [14]
3 years ago
6

Angles C and D are acute angles of a right triangle.

Mathematics
1 answer:
Flauer [41]3 years ago
7 0

Answer:

The answer to your question is cos C =\frac{5}{7}

Step-by-step explanation:

Data

sin D = \frac{5}{7}

Formula

sine Ф = \frac{opposite side}{hypotenuse}

- If sin D = \frac{5}{7}

the opposite side = 5

the hypotenuse = 7

- We can find the adjacent side of angle D using the pytagorean theorem

               7² = a² + 5²

               a² =49 - 25

               a² = 24

               a = \sqrt{24}

- To find the cosine of angle C

 Cos C = \frac{adjacent side}{hypotenuse}

  Cos C = \frac{5}{7}

                <u>   sin D = cos C</u>

 

   

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