Chapter 8-3 Trigonometry

Objectives  Students will be able to use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles

Essential Understanding  If you know certain combinations of side lengths and angle measures of a right triangle, you can use ratios to find other side lengths and angle measures.

Trigonometric Ratios

Soh Cah Toa

Write Trig Ratios  What are the sine, cosine and tangent ratios for <G?

Find the value of w

 A section of Filbert Street in San Francisco rises at an angle of about 17 degrees. If you walk 150 feet up this section, what is your vertical rise? Round to the nearest foot

Inverse Trig Functions  What is an inverse function?  Sine, Cosine, and Tangent are used to find length  The inverses of those functions are used to find angle measures  Written as sin -1, cos -1, tan -1  You are still going to use Soh Cah Toa to set up the ratio, but you are going to use the inverse functions on your calculators to evaluate them.  Make sure your calculator is in degree mode

Using Inverses  What is the measure of <X to the nearest degree?

Using Inverses  What is the measure of <T to the nearest degree?

Homework  Pg. 510  #11 – 27, 33 – 35  20 Problems