Question

50 points!!! Picture below please help

Answer 1

Answer:

24/25

20/29

Step-by-step explanation:

Trigonometry ratios:

$sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}$

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