Question

In the given right triangle, write all trigonometric ratios ?

Answer 1

see below

Explanation:

You will need the hypotenuse 12 ^2 + 9^2 = h^2 h = 15

In a right triangle:

S O H C A H T O A

sin s = S A H = Opposite / Hypotenuse = 12/15

cos r = C A H = Adjacent / Hypotenuse = 12/ 15

Tan s = T O A = 12 / 9

cos (theta) = cos s = 9 / 15

Tan r = 9/12

arc cos(theta) = theta = arccos(9/15) = 53.13 degrees