Sine/Cosine/Tangent Focus: Find out who is sohacahtoa and why is the spelling of his name so important?
sohcahtoa <ul><li>SOHCAHTOA was the chief of the Trigonometric Tribe. He was a very wise man and people would go to him to...
sohcahtoa <ul><li>SOHCAHTOA, a contemporary of Pythagorus, worked on finding ways to solve lengths and distances on right ...
Right Triangles’ Sides <ul><li>Hypotenuse </li></ul><ul><li>Adjacent side </li></ul><ul><li>Opposite side </li></ul><ul><l...
Where they are found. 25°
Where the hypotenuse is found. hypotenuse 25°
Where the adjacent and opposite sides are found. hypotenuse 25° opposite Adjacent  means next to or attached. This will  b...
Where the adjacent and opposite sides are found. hypotenuse 25° Adjacent side to the 25° angle.  Adjacent  means next to o...
Where the adjacent and opposite sides are found relative to the third angle.. hypotenuse 65° Adjacent side Adjacent  means...
Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul><ul><li>Cosine ratio: </li></ul><...
Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul>9 12 15 x °
Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul><ul><li>Cosine ratio: </li></ul><...
Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul><ul><li>Cosine ratio: </li></ul><...
Ratios <ul><li>Sine ratio: </li></ul><ul><ul><li>Opposite over hypotenuse </li></ul></ul><ul><li>Cosine ratio: </li></ul><...
What is the missing angle measurement?
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8 8b Trig Intro

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Sine Cosine Tangent

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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?

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