Answer:
The answer to your question is cos C =[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Data
sin D = [tex]\frac{5}{7}[/tex]
Formula
sine Ф = [tex]\frac{opposite side}{hypotenuse}[/tex]
- If sin D = [tex]\frac{5}{7}[/tex]
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 = [tex]\sqrt{24}[/tex]
- To find the cosine of angle C
Cos C = [tex]\frac{adjacent side}{hypotenuse}[/tex]
Cos C = [tex]\frac{5}{7}[/tex]
sin D = cos C
