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Warm-Up 8/13. What are the six trigonometric functions and the ratios?. Q&A on yesterday’s assignment.
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Warm-Up 8/13 What are the six trigonometric functions and the ratios? Q&A on yesterday’s assignment.
Rigor:You will learn the six trigonometric functions and how to use them to solve problems.Relevance:You will be able to solve real world right triangle trigonometry problems using the six trigonometric functions.
Trigonometric Ratios: ratios of sides of a right triangle. hypotenuse hyp opposite adj adjacent opp
6 Trigonometric Ratios: 3 basic: 3 additional:
Example 1: Find the exact values of the 6 Trigonometric functions of 7 hyp θ adj 3 opp
Since any two right triangles with angle are similar, these ratios are the same, regardless of the size of the triangle. 50 30 5 3 4 40
Example 2: If , find the exact values of the 5 remaining trigonometric functions. 3 1
not ° 7 hyp x Example 3: Find the value of . Round to the nearest tenth, if necessary. adj Make sure your calculator is in degrees.
not hyp 12 Example 5: Use a trigonometric function to find the measure of . Round to the nearest degree. 15.7 opp
4-1a Checkpoints: TX p222, 3A; p223, 5A math! Find the measure of . Find the value of . • 4-1a Assignment: TX p227, 3-36 DB3