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Trigonometric Functions Practice: Find Missing Measures

Practice session to find missing measures using sine, cosine, and tangent functions. Learn to calculate angles and sides using SOHCAHTOA and Pythagorean Theorem. Solve trigonometric problems in radical form.

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Trigonometric Functions Practice: Find Missing Measures

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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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