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Chapter 10

Chapter 10. Section 10.4-10.6 Trigonometric Ratios. Trigonometric Ratios. The ratio of the length of 2 sides of a right triangle compared to an angle θ is an angle degree ( θ called theta) You can never use the 90° as θ Founded by the Ancient Greeks

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Chapter 10

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  1. Chapter 10 Section 10.4-10.6 Trigonometric Ratios

  2. Trigonometric Ratios The ratio of the length of 2 sides of a right triangle compared to an angle θ is an angle degree (θ called theta) You can never use the 90° as θ Founded by the Ancient Greeks Trigonometry means – study of triangles

  3. Vocabulary • Opposite side of an angle • Adjacent side of an angle • Hypotenuse T S V

  4. SOH CAH TOA Sine Sin θ =

  5. SOH CAH TOA Cosine Cos θ =

  6. SOH CAH TOA Tangent Tan θ =

  7. Tan A = Sin A = Cos A = Tan C = Sin C = Cos C = SOH CAH TOA

  8. Examples Find the missing side.

  9. Example Find the missing side.

  10. Example Find the missing side.

  11. Example Find the missing side.

  12. Example Find the missing side.

  13. Example Find the missing degree – Always round to the nearest degree

  14. Example Find the missing degree – Always round to the nearest degree

  15. Example Find the missing degree – Always round to the nearest degree

  16. Word Problems • The sun shines on a tree 25m tall, so that a shadow 18m long is cast. To the nearest degree, find the angle the sun’s rays make with the ground.

  17. Word Problems • A plane takes off from a runway at a 50° angle with the ground. What is the altitude of the plane when it has traveled at this angle for 2500m?

  18. Homework • WKS

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