Upcoming SlideShare
×

# 8 8b Trig Intro

1,955 views

Published on

Sine Cosine Tangent

Published in: Education, Technology
0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total views
1,955
On SlideShare
0
From Embeds
0
Number of Embeds
7
Actions
Shares
0
46
0
Likes
0
Embeds 0
No embeds

No notes for slide

### 8 8b Trig Intro

1. 1. Sine/Cosine/Tangent Focus: Find out who is sohacahtoa and why is the spelling of his name so important?
2. 2. sohcahtoa <ul><li>SOHCAHTOA was the chief of the Trigonometric Tribe. He was a very wise man and people would go to him to solve their most pressing problems. Legend has it that he is the grandson of Sacajewea, for whom a famous park was erected in SW Washington state in time for Lewis and Clark to have a bath. </li></ul>
3. 3. sohcahtoa <ul><li>SOHCAHTOA, a contemporary of Pythagorus, worked on finding ways to solve lengths and distances on right triangles. </li></ul><ul><li>SOHCAHTOA is a famous dead mathematician, but his name lives on in legendary brilliance, he is still alive and working with roots. </li></ul><ul><li>Spell his name correctly and you will certain pass into the tribe of Trigonometry’s lore. </li></ul>
4. 4. Right Triangles’ Sides <ul><li>Hypotenuse </li></ul><ul><li>Adjacent side </li></ul><ul><li>Opposite side </li></ul><ul><li>The adjacent and opposite sides are relative terms, compared to the location of the angle in question. </li></ul><ul><li>The hypotenuse is always across from the right angle in a triangle. </li></ul>
5. 5. Where they are found. 25°
6. 6. Where the hypotenuse is found. hypotenuse 25°
7. 7. Where the adjacent and opposite sides are found. hypotenuse 25° opposite Adjacent means next to or attached. This will be shown on the next slide.
8. 8. Where the adjacent and opposite sides are found. hypotenuse 25° Adjacent side to the 25° angle. Adjacent means next to or attached. The next slide will show the relationships from the remaining angle. Opposite the 25° angle.
9. 9. Where the adjacent and opposite sides are found relative to the third angle.. hypotenuse 65° Adjacent side Adjacent means next to or attached. The hypotenuse is still (always) across from the right angle. Opposite the 65 degree angle.
10. 10. Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul><ul><li>Cosine ratio: </li></ul><ul><ul><li>Adjacent over hypotenuse </li></ul></ul><ul><li>Tangent ratio: </li></ul><ul><ul><li>Opposite over Adjacent </li></ul></ul>9 12 15 Trigonometry is based on the following relationships. x°
11. 11. Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul>9 12 15 x °
12. 12. Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul><ul><li>Cosine ratio: </li></ul><ul><ul><li>Adjacent over hypotenuse </li></ul></ul>9 12 15 x °
13. 13. Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul><ul><li>Cosine ratio: </li></ul><ul><ul><li>Adjacent over hypotenuse </li></ul></ul><ul><li>Tangent ratio: </li></ul><ul><ul><li>Opposite over Adjacent </li></ul></ul>9 12 15 x °
14. 14. Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul><ul><li>Cosine ratio: </li></ul><ul><ul><li>Adjacent over hypotenuse </li></ul></ul><ul><li>Tangent ratio: </li></ul><ul><ul><li>Opposite over Adjacent </li></ul></ul>9 12 15 Trigonometry charts are usually found at the back of math textbooks. Is there one in your book on page 668? x ° We can use these fractions as division statements and compare the resulting answers to determine the angle’s measurement.
15. 15. What is the missing angle measurement?