1 / 12

Bellringer 3-28

Bellringer 3-28. What is the area of a circular sector with radius = 9 cm and a central angle of θ = 45°?. Homework Section 5.2. Pg. 251 (17, 21, 24, 28, 29) 17. 20

frisco
Download Presentation

Bellringer 3-28

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Bellringer 3-28 • What is the area of a circular sector with radius = 9 cm and a central angle of θ = 45°?

  2. Homework Section 5.2 • Pg. 251 (17, 21, 24, 28, 29) • 17. 20𝜋/3 (20.9 cm) • 21. 5𝜋/36 (.44 in) • 24. 35.8° • 28. 65.45 ft2 • 29. 16.97 in2

  3. Section 5.3 – Circular Functions • Definition of Sine and Cosine • If the terminal side of an angle θ in standard position intersects the unit circle at P(x,y), then cos θ = x andsin θ = y.

  4. Sine and Cosine • Ex. What is the sin 90°? (Draw circle and find coordinates.)

  5. Sine and Cosine (2) • What is the cos 𝜋?

  6. Sine and Cosine (Functions of an Angle) • For any angle in standard position with θ, a point P(x,y) on its terminal side, and r = , the sine and cosine functions of θ are as follows: sin θ = cos θ =

  7. Example 1 • Find the values of sine and cosine functions of an angle in standard position with measure θ if the point with coordinates (3,4) lies on its terminal side.

  8. Example 2 • Find sin θ when cos θ = and the terminal side of θ is in the first quadrant.

  9. 6 Trigonometric Functions • Sine, Cosine, Tangent, Cosecant, Secant, Cotangent • sin θ = cos θ = tan θ = • csc θ = sec θ = cot θ = • Notice cosecant is the reciprocal of sine… • csc θ = 1/sin θ

  10. Example • The terminal side of an angle θ in standard position contains the point with coordinates (8, -15). Find the values of all 6 trig. Functions.

  11. Chart for signs in Quadrants

  12. Homework 5.3 • Pg. 260 (25, 28, 32)

More Related