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Warm – up : Find the missing measures. Write all answers in radical form.

Session 17. Warm – up : Find the missing measures. Write all answers in radical form. 30 °. 45 °. x. 7. 10. z. 45 °. w. 60 °. y. The Trigonometric Functions we will be looking at. SINE. COSINE. TANGENT. The Trigonometric Functions. SIN E. COS INE. TAN GENT. SIN E.

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Warm – up : Find the missing measures. Write all answers in radical form.

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  1. Session 17 Warm – up: Find the missing measures. Write all answers in radical form. 30° 45° x 7 10 z 45° w 60° y

  2. The Trigonometric Functions we will be looking at SINE COSINE TANGENT

  3. The Trigonometric Functions SINE COSINE TANGENT

  4. SINE Prounounced “sign”

  5. COSINE Prounounced “co-sign”

  6. TANGENT Prounounced “tan-gent”

  7. Greek Letter q Prounounced “theta” Represents an unknown angle

  8. hypotenuse hypotenuse opposite opposite adjacent adjacent

  9. We need a way to remember all of these ratios…

  10. Some Old Hippie Came A Hoppin’ Through Our Old Hippie Apartment

  11. Sin SOHCAHTOA Opp Hyp Cos Adj Hyp Tan Opp Adj Old Hippie

  12. Finding sin, cos, and tan

  13. SOHCAHTOA 10 8 6

  14. Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places). 10.8 9 A 6

  15. Find the values of the three trigonometric functions of . ? Pythagorean Theorem: 5 4 (3)² + (4)² = c² 5 = c 3

  16. Find the sine, the cosine, and the tangent of angle A Give a fraction and decimal answer (round to 4 decimal places). B 24.5 8.2 A 23.1

  17. Finding a side

  18. Ex. A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5°. How tall is the tree? tan 71.5° ? tan 71.5° 71.5° y = 50 (tan 71.5°) 50 y = 50 (2.98868)

  19. Ex. 5 A person is 200 yards from a river. Rather than walk directly to the river, the person walks along a straight path to the river’s edge at a 60° angle. How far must the person walk to reach the river’s edge? cos 60° x (cos 60°) = 200 200 60° x x X = 400 yards

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