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 sin⁡θ, cos⁡θ, and tan⁡θ. ie… sin⁡θ/cos⁡θ = tan⁡θ and sin^2 θ+cos^2 θ=1
• Find all the solutions of simple trigonometrical equations lying in a specified interval