Unit 3: Right Triangle Trigonometry

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Presentation transcript:

Unit 3: Right Triangle Trigonometry Vocabulary Builder

Daily Agenda Hypotenuse Similar Triangles Square Root Simplest radical form leg Variable Pythagorean Theorem 45-45-90 Triangle 30-60-90 Triangle

Daily Agenda

Daily Agenda

Daily Agenda

Unit 3: Right Triangle Trigonometry 3.1 Trigonometric Ratios

3.1 Trigonometric Ratios Daily Agenda square root perfect square radical expression radicand perfect square

3.1 Trigonometric Ratios Daily Agenda Example 2 5 8 14 30 18 23 𝟔 𝟐 𝟔 𝟐 2 𝟔 3 𝟏𝟏 3 𝟏𝟎 10 𝟑 𝟓 𝟑

3.1 Trigonometric Ratios Daily Agenda right triangle equals hypotenuse side lengths

3.1 Trigonometric Ratios Daily Agenda Example 3 𝑥 2 + 3.9 2 = 11 2 13) 14) 15) 𝑥 2 + 3.9 2 = 11 2 4 2 + 8 2 = 𝑥 2 6 2 + 3 2 = 𝑥 2 16+64= 𝑥 2 36+9= 𝑥 2 𝑥 2 +15.21=121 𝑥 2 =105.79 80= 𝑥 2 45= 𝑥 2 𝑥=10.29 4 5 =𝑥 3 5 =𝑥

3.1 Trigonometric Ratios Daily Agenda hypotenuse adjacent opposite

3.1 Trigonometric Ratios Daily Agenda Example 4 𝑌𝑍 𝑋𝑌 𝑋𝑍

3.1 Trigonometric Ratios Daily Agenda Example 5 𝐻𝑈 𝑈𝐼 𝐻𝐼

3.1 Trigonometric Ratios Daily Agenda trigonometric ratio length right SOH CAH TOA length right acute

3.1 Trigonometric Ratios Daily Agenda

3.1 Trigonometric Ratios Daily Agenda SOH CAH TOA Example 6 𝑂𝑃𝑃 𝐴𝐷𝐽 = 20 15 = 4 3 𝑂𝑃𝑃 𝐴𝐷𝐽 = 16 30 = 8 15 𝑂𝑃𝑃 𝐴𝐷𝐽 = 14 48 = 7 24 𝑂𝑃𝑃 𝐻𝑌𝑃 = 15 25 = 3 5 𝑂𝑃𝑃 𝐻𝑌𝑃 = 30 34 = 15 17 𝐴𝐷𝐽 𝐻𝑌𝑃 = 48 50 = 24 25

3.1 Trigonometric Ratios Daily Agenda Example 7 = 11 29 = 11 29 = 25 29 = 25 11 = 18 7 =1