Practice using Inverse Trig Ratios

Have a calculator handy when you solve the problems. https://www.desmos.com/scientific Practice Solving Right Triangles using Trig and Inverse Trig You have learned that trig ratios like sine, cosine, and tangent can be used to solve for missing sidesof a right triangle, when one acute angle is given, along with one side length. In this activity you will use inverse trig ratios to solvefor the missing acute angle measure(s) of a righttriangle, when two side lengths are known or given. The notation sin is pronounced "inverse sine" andthere are function buttons on your calculator for inverse trig ratios.^{-1}Match each term with its correct ratio. tangent cosine sine oppositeadjacent? opposite hypotenuse? adjacent hypotenuse ? hypotenuse ? If the reference angle is "y", drag the appropriate terms next to the two side lengths. 10 y 8 opposite ? hypotenuse Which inverse trig function would you use to solve for y? 10 y 8 opposite sin ^{-1}cos ^{-1}tan ^{-1}Which inverse trig function would you use to solve for x? 6 x 8 sin ^{-1}cos ^{-1}tan ^{-1}Which inverse trig function would you use to solve for x? 10 x 8 sin ^{-1}cos ^{-1}tan ^{-1}Find 31 cm x 28 cm x = cos x = x ≈-1 degrees 35 mm Find x 24 mm x = x ≈sin x = -1 degrees Find x 29 cm 35 cm tan x = x = x ≈-1 3529degrees Find 14 cm 7 cm x x = x =-1 ( ) degrees 6 m Find 6 m x x = x =-1 ( ) degrees |

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