1 / 6

Side Relationships in Special Right Triangles & Exact Values of The Trigonometric Functions

Side Relationships in Special Right Triangles & Exact Values of The Trigonometric Functions. Side Relationships in Special Right Triangles. The 45 ° – 45 ° – 90 ° Theorem In a 45 ° - 45° - 90° triangle the hypotenuse is times as long as either leg.

cai
Download Presentation

Side Relationships in Special Right Triangles & Exact Values of The Trigonometric Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Side Relationships in Special Right Triangles &Exact Values of The Trigonometric Functions

  2. Side Relationships in Special Right Triangles The 45° – 45 ° – 90 ° Theorem In a 45° - 45° - 90° triangle the hypotenuse is times as long as either leg. Example: Find the value of x in the triangle. hyp =  leg hyp = 5 Therefore, x = x 45°

  3. Side Relationships in Special Right Triangles The 30° – 60 ° – 90 ° Theorem In a 30° - 60° - 90° triangle the hypotenuse is 2 times as long as the shorter leg. The longer leg is times as long as the shorter leg. Example: Find the value of x and y in the triangle. hyp = 2  shorter leg longer leg =  shorter leg 20 = 2  y x =  10 10 = y x 30° 20 y 60°

  4. Exact Values of The Trigonometric Functions • There are certain angles for trigonometric functions which have exact values • 0°, 90°, 180°, 270°, 30°, 45°, and 60°

  5. Exact Values of The Trigonometric Functions Example: Find the exact values of the six trigonometric functions of 0°. Solution: Begin by drawing an angle of 0°, and choose any point that would lie on the terminal side. (3, 0) is one such point. x = 3 y = 0 r = 3 y x (3,0)

  6. Homework • Do #1 – 7 odd numbers only on page 235 from Section 7.4 and #1 and 2 on page 238 from Section 7.5 for Tuesday June 9th

More Related