Question

Explain the difference between using the sine ratio to solve for a missing angle in a right triangle versus using the cosecant ratio. You must use complete sentences and any evidence needed (such as an example) to prove your point of view. (10 points)

Answer 1

The sine ratio is the ratio between the opposite side over hypotenuse. The cosecant ratio is the ratio between the hypotenuse over the opposite side, therefore cosecant is the reciprocal of sine.

To find a missing angle using sine, you would need to use the inverse of sine. For example, if the sine was
`(30)/(40)`, to find the angle you would need to find sin⁻¹ of
`(30)/(40)` which is x = sin⁻¹ (0.75). Therefore x equals approximately 49°.