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# Trigonometric ratios and the unit circle - PowerPoint PPT Presentation

Trigonometric ratios and the unit circle. Mrs. White Precalculus 5.2/5.4. Schedule. Trig Ratios and the Unit Circle. Goals Students should be able to calculate the exact value of the 6 trigonometric ratios. Review – Complete the Table. Example 1.

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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