|
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-1 is pronounced "inverse sine" andthere are function buttons on your calculator for inverse trig ratios. 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 x, to the nearest whole number of degrees. 31 cm x 28 cm x = cos x = x ≈ -1 degrees 35 mm Find x, to the nearest whole number of degrees. x 24 mm x = x ≈ sin x = -1 degrees Find x, to the nearest whole number of degrees. x 29 cm 35 cm tan x = x = x ≈ -1 3529 degrees Find x, to the nearest whole number of degrees. 14 cm 7 cm x x = x = -1 ( ) degrees 6 m Find x, to the nearest whole number of degrees. 6 m x x = x = -1 ( ) degrees |