Put trigonometric ratios into inverse. Scholars learn how to find an unknown angle in a right triangle by using inverse trigonometric ratios. The pupils understand how the inverses undo a trigonometric ratio to provide the angle measure. With the knowledge, they practice finding unknown angles in multiple triangles given lengths of two and three sides.

Concepts

trigonometric ratios, trigonometric word problems, trigonometry applications, inverse

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Instructional Ideas

• Ask class members to label the sides of the triangle as the opposite, adjacent, and hypotenuse to help them understand which trig ratio to use

Classroom Considerations

• Lesson five of six in a right triangles series 
• Assumes knowledge of the three main trigonometric ratios

• This video is hosted on YouTube

Pros

• Contains application and extension problems
• Shows the steps to use on the calculator to find the inverse trigonometric ratio

Cons

• None

Common Core

SL.9-10.2 SL.11-12.2 MP6 HSG-SRT.C.8