Introduction to Trigonometry

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Presentation transcript:

Introduction to Trigonometry Angles and Radians (MA3A2): Define an understand angles measured in degrees and radians.

Lowercase Greek letters are used to denote angles Θ (theta) α (alpha) β (beta) γ (gamma)

Reference Angle: the acute angle formed by the terminal side and the closest x-axis. QUADRANT I QUADRANT II QUADRANT III QUADRANT IV

EXS: Find the reference angle for the following angles of rotation. 10. Θ = 405° 11. Θ = 210 ° 12. Θ = -300 ° 13. Θ = -225 °

ON YOUR OWN: Find the reference angle for the following angles of rotation. 10. Θ = 405° 11. Θ = 210 ° 45° 3𝟎° 12. Θ = -300 ° 13. Θ = -225 ° 6𝟎° 45°

**Reference angles are ALWAYS positive!! Reference Angle: the acute angle formed by the terminal side and the closest x-axis. **Reference angles are ALWAYS positive!! EX: Find the reference angle for each angle. Θ = 115°. 65°

**Reference angles are ALWAYS positive!! Reference Angle: the acute angle formed by the terminal side and the closest x-axis. **Reference angles are ALWAYS positive!! EX: Θ = 225°. 45°

**Reference angles are ALWAYS positive!! Reference Angle: the acute angle formed by the terminal side and the closest x-axis. **Reference angles are ALWAYS positive!! EX: Θ = 330° 3𝟎°

**Reference angles are ALWAYS positive!! Reference Angle: the acute angle formed by the terminal side and the closest x-axis. **Reference angles are ALWAYS positive!! EX: Θ = -150°. 3𝟎°

**If Θ lies in the first quadrant, then the angle is it’s own reference angle. EX: Θ = 60°. 6𝟎°