1. Basic Trigonometry SineCosineTangent

2. The Language of Trig The target angle is either one of the acute angles of the right triangle. 

3. Trig Equations  

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6. Given sides, find requested ratios: Locate indicated angle and classify sides in relation to it. Use proper equation and write the ratio. Use calculator to round to the nearest ten-thousandths place. Find sin, cos, and tan of  A. 8.2 24.5 23.1 24.5 8.2 23.1

7. Solving for the unknown: Unknown on top…..Multiply x 24 Calculator: 24 * (sin 40)= 15.4

8. Solving for the unknown: Unknown on bottom…..Divide x 24 Calculator: 24  (sin 40)= 37.3

9. Solving for the unknown: Unknown angle…..use inverse x 24 Calculator: 2 nd sin -1 (15.4/24)= 40 15.4

10. Solving problems using trig: Choose your target angle and classify sides in relation to it. Use proper equation and write the ratio placing the unknown wherever it falls. Solve…Unless directed otherwise, round sides to nearest tenth and angles to nearest degree. h 52.6 h = 52.6(sin 30) = 26.3

11. Angle of Elevation The angle of elevation is always Measured from the Horizontal UP… It is always INSIDE the triangle.

12. Angle of Depression The angle of depression is always Measured from the Horizontal DOWN… It is usually OUTSIDE the triangle. However….because horizontal lines are parallel, an angle of depression is equal to its alternate interior angle of elevation. x  

13. Practice 67  30m h h h = 30(tan 67) = 70.7m

14. From a point on the ground 25 feet from the foot of a tree, the angle of elevation of the top of the tree is 32º. Find to the nearest foot, the height of the tree. 25 ft 32 ° x ft HypOpp Adj x  16 ft 32 ° 25 ft x ft