Question

Find the value of each trigonometric ratio. 1) sin X 28

Answer 1

Melenndy, this is the solution.

As you can see in the image, we have a right triangle, where:

• Angle Y = 90 degrees

,

• Angle X = 180 - 90 - Z degrees

,

• Angle Z = 180 - 90 - Y degrees

Let's find the measures of X and Z:

X = arcsin (21/35)

X = arcsin (0.6)

X = 0.6435 rad

X = 36.87 degrees

Z = arcsin(28/35)

Z = arcsin (0.8)

Z = 0.9273 rad

Z = 53.13 degrees

Sin (36.87) = 0.6