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Unit 4 – Trigonometry and Circular Measure
When students have completed this lesson they should be able to:
- Understand the definition of a radian, and use the relationship between radians and degrees
- Use formula s=rθ for the length of a circular arc, and A=1/2 r^2 θ for the area of a circular sector
- Sketch and use graphs of the sine, cosine, and tangent functions (for angles of any size, and using either degrees or radians)
- Use the exact values of the sine, cosine and tangent of 30, 45, 60, related angles
- Use the notations sin^(-1)x, cos^(-1)x, and tan^(-1)x, to denote the principal values of the inverse trigonometric relations
- Use the identities involving sinθ, cosθ, and tanθ. ie… sinθ/cosθ = tanθ and sin^2 θ+cos^2 θ=1
- Find all the solutions of simple trigonometrical equations lying in a specified interval