Answer:
24/25
20/29
Step-by-step explanation:
Trigonometry ratios:
[tex]sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}[/tex]
where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse (longest side)
As angles A and C are complementary, this implies that side b is the hypotenuse and sides a and c are the legs of a right triangle.
Referring to the attached diagram:
sin(A) = O/H = a/b
cos(C) = A/H = a/b
Therefore, sin(A) ≡ cos(C)
If sin(A) = 24/25 , the value of cos(C) = 24/25
If cos(A) = 20/29, the value of sin(C) = 20/29
