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Trigonometric ratios and the unit circle

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Trigonometric ratios and the unit circle

Mrs. WhitePrecalculus 5.2/5.4

- Goals
- Students should be able to calculate the exact value of the 6 trigonometric ratios.

- Plot P (-12, -5) in the coordinate plane. If the terminal side of an angle in standard position passes through P, find the 6 trig. Ratios.

- Plot P (5, -2) in the coordinate plane. If the terminal side of an angle in standard position passes through P, find the 6 trig. Ratios.

- Given the following, find the 6 trigonometric ratios:
- sec Θ = -2
- sin Θ > 0

- Find the reference angle, α.
- Given:
- Θ = 309o
- α = 360o - 309o
- α = 51o

- Find the reference angle, α.
- Given:
- Θ =
- Θ =
- α =

- Evaluate the 6 trig functions of the following angles. No Calculator.
- Θ = 510°
- This is coterminal with: 150°
- Reference angle: 30°, Quadrant 2

- Evaluate the 6 trig functions of the following angles. No Calculator.
- Θ =
- This is coterminal with:
- Reference angle: , Quadrant 3

- Sketch a right triangle corresponding to the trig function of the acute angle, Θ. Find the length of the missing side (using Pythagorean Th). Evaluate the remaining 5 trig. functions at Θ.
- Given: Θ