7 4 evaluating and graphing sine and cosine
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This document discusses evaluating sine and cosine functions using reference angles. It defines a reference angle as the positive acute angle formed between the terminal ray of an angle and the x-axis. Students are instructed to use reference angles to evaluate trig functions for any angle by determining the sign based on the quadrant. The document provides examples of using reference angles to find the sine and cosine of specific angles without using a unit circle.
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- 1. Objectives: 1. Use reference angles and special angles to evaluate sine and cosine functions 2. Graph sine and cosine functions.
- 2. The reference angle for any angle 慮 is: the positive acute angle formed by the terminal ray of 慮 and the x-axis.
- 3. We can evaluate any trig function for any angle by using its reference angle. Determine the sign by quadrant. Remember: All Students Take Calculus!
- 4. Express sin 695 in terms of a reference angle.
- 5. Express cos 200 in terms of a reference angle.
- 7. Evaluate each without looking at the unit circle. (Use the reference angle!)
- 8. Evaluate each without looking at the unit circle.