41 Right Triangle Trigonometry Precalculus Knights Charge 1

41 Right Triangle Trigonometry Precalculus Knight’s Charge: 1

Sec 4. 1: Right Triangle Trigonometry Objectives: Evaluate trigonometric functions of acute angles Use the fundamental trigonometric identities Use trigonometric functions to model and solve real-life problems

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adj Precalculus opp 41 Right Triangle Trigonometry Trigonometric Functions hyp 4

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Example 1 • cos = • tan = • csc = 5 13 12 • sec = Precalculus • sin = 4. 3 Right Triangle Trigonometry • Evaluate the six trig functions of the angle shown in the right triangle • cot = 6

YOU TRY • cos = • tan = • csc = • sec = Precalculus • sin = 41 Right Triangle Trigonometry • Evaluate the six trig functions of the angle shown in the right triangle • cot = 7

41 Right Triangle Trigonometry Precalculus Example 2 • 8

41 Right Triangle Trigonometry Precalculus You Try • 9

41 Right Triangle Trigonometry Precalculus Example 3 • 10

Example 4 30° 15 41 Right Triangle Trigonometry Precalculus • Find the value of x for the right triangle shown x 11

c A b B 62° 6 C 41 Right Triangle Trigonometry • Solve ∆ABC (i. e. find the measures of all the unknown angles and sides of the triangle). Precalculus Example 5 12

B c A 30° a C 41 Right Triangle Trigonometry Precalculus You Try • Solve ∆ABC. 13

B 15 A 9 C 41 Right Triangle Trigonometry • Find the measure of angle B to the nearest tenth (ONE decimal place ). • . Precalculus Example 6 14

B 12 A 15 C 4. 3 Right Triangle Trigonometry Find the measure of angle A to the nearest hundredths (TWO decimal places ). Precalculus You Try 15

B c A 5 9 C 41 Right Triangle Trigonometry • Solve ∆ABC (i. e. find the measures of all the unknown angles and sides of the triangle). Precalculus Example 7 16

B 12 A C 41 Right Triangle Trigonometry Precalculus You Try • Solve ∆ABC. 17

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19 4. 3 Right Triangle Trigonometry Precalculus

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27 4. 3 Right Triangle Trigonometry Precalculus

4. 3 Right Triangle Trigonometry • Go to any “letter”… only two people per letter. • You must write down your letter, equation, and answer for each problem. • Do not move stations until I tell you to! Precalculus Round Robin 28

4. 3 Right Triangle Trigonometry Precalculus Victory Lap Find the unknown value: 29