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 Thus far we’ve primarily been focused on using the sine, cosine and tangent functions when we already have the angles in which to use  Today we’re going to explore the inverse trig functions which allow us to calculate angle measures based on side lengths

Typically, the inverse functions on a calculator are the Shift buttons above their respective trig functions 20 θ 15 Given the triangle below, find the sine of theta In order to solve for theta, we know use the inverse sine function If using the back of the book, find the whole angle nearest the divided ratio being used

Functionally, these inverse ratios are linked to their “regular” functions

Solve for θ θ 21 37

What inverse trig ratio should be used in this situation?

What is the correct value for θ?

Solve for θ,Φ & x 26 θ 21 x Φ o o

What are the correct values for θ, Φ & x?

What is the correct values for θ, Φ & x?

You are trying to build a ramp so that you can take your bike of some “sweet jumps.” The ramp will have a face of 12.5 feet and be 6.3 feet off the ground at the top. What is the angle of elevation for the ramp? A o B o C o

7.7 1, 2-40 even

Inverse trig ratiosInverse trig ratios System for solving right trianglesSystem for solving right triangles