Chapter 10
Trigonometry
Angles in standard position, degree-radian conversion, arc length and sector area, the six trigonometric ratios and their relations, special angles, solving right triangles, and angles of elevation and depression.
10.2 The Relation between Degree and Radian Measure
10.3 Arc Length and Area of a Sector of a Circle
10.4 Six Trigonometric Ratios
10.5 Relations between the Trigonometric Ratios
10.6 Value of the Trigonometric Ratios for Some Special Angles
10.7 Solution of Right Triangles
10.8 Angle of Elevation and Angle of Depression
Try it yourself
π¬ Trig Tour
Take a tour of trigonometry using degrees or radians β see sine, cosine, and tangent values change as an angle sweeps around the unit circle.
Try this: Drag the point around the unit circle, or use the arrows to step the angle in fixed increments. Switch between degrees and radians.
Look for: Notice when sin ΞΈ and cos ΞΈ are positive, negative, or zero as the angle crosses each quadrant boundary.
Simulation by PhET Interactive Simulations, University of Colorado Boulder β licensed CC BY-NC. View on phet.colorado.edu β