Question

Find the value of each trigonometric ratio in simplist form

Answer 1

Okay, let's go through this step-by-step:

1) sin(A) = opposite/adjacent = BC/AB = 18/24 = 3/4

2) cos(A) = adjacent/hypotenuse = AB/AC = 24/30 = 4/5

3) tan(A) = sin(A) / cos(A) = (3/4) / (4/5) = 3/4

4) sec(A) = 1/cos(A) = 1/4/5 = 5/4

5) csc(A) = 1/sin(A) = 1/3/4 = 12/3

In simple terms:

sin(A) = 3/4

cos(A) = 4/5

tan(A) = 3/4

sec(A) = 5/4

csc(A) = 12/3

Let me know if you need more details.