Trigonometric Functions Right Triangles

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Trigonometric Functions Right Triangles

  1. 1. TRIGONOMETRIC FUNCTIONS
  2. 2. Right Triangles
  3. 3. A right triangle has one right angle, two legs, and one hypotenuse. The hypostenuse is the longest side of the right triangle and is across from the right angle. leg leg hypotenuse right angle
  4. 4. The Pythagorean Theorem is true for any right triangle. The hypotenuse is always c! b a c right angle C A B
  5. 5. Six trigonometric functions: ratios between pairs of sides in a right triangle <ul><li>First, identify the angle which you are using for reference. Let’s use  . </li></ul>adjacent  hypotenuse opposite
  6. 6. First Three Trigonometric Functions <ul><li>Tommy’s old aunt </li></ul><ul><li>sat on her </li></ul><ul><li>chair and hollered. </li></ul>Yaaaaaaaagh!
  7. 7. Do you see how the first letter of each word in my sentence corresponds to the t o a s o h c a h of the trigonometric functions? adjacent  hypotenuse opposite
  8. 9. tree park ranger 40  30 feet
  9. 10. What about the other three trigonometric functions? Each of the other three trigonometric is the reciprocal of one of the “main” three trigonometric functions.
  10. 11. Homework

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