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Review trigonometric functions, special triangles, radian measure, identities, and graphs for a comprehensive understanding. Use simple x=1 approach for evaluation and recall function positivities in quadrants. Explore reciprocal, quotient, Pythagorean identities, and double angle identity. Visualize trig functions on the unit circle, and grasp their behavior with graphs.
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September 7th, 2017 Evaluating Trigonometric Functions (Precalculus Review 3)
II. Special Right Triangles *To make things simple, use x=1 when evaluating trig ratios.
*To remember which functions are positive in each quadrant: Quad II Students (sin) Quad I All (all) Quad III Take (tan) Quad IV Calculus (cos)
IV. Quadrant Angles • *Use points on the unit circle to evaluate trig functions for quadrant angles.
V. TRIGONOMETRIC IDENTITIES • Reciprocal Identities: • Quotient Identities: • Pythagorean Identities: Double Angle Identity:
D: All real numbers except Vertical Asymptotes: