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1. (a) What is the unit circle, and what is the equation of the unit circle? (b) Use a diagram to explain what is
1. (a) What is the unit circle, and what is the equation of the unit circle? (b) Use a diagram to explain what is meant by the terminal point P(x, y) determined by t. (c) Find the terminal point for t = TT 2 = (0,1) (d) What is the reference number associated with t? T (e) Find the reference number and terminal point for 7T t = 4 = (1/1) 157 dese 2. Lett be a real number, and let P(x, y) be the terminal point determined by t. (a) Write equations that define sin t, cos t, tant, csc t, sect, and cot t. (b) In each of the four quadrants, identify the trigonometric functions that are positive. (c) List the special values of sine, cosine, and tangent.vl 3. (a) Describe the steps we use to find the value of a trigono- metric function at a real number t. 5 (b) Find sin 6 nolianu 4. (a) What is a periodic function? (b) What are the periods of the six trigonometric functions? (c) Find sin 19T 4 5. (a) What is an even function, and what is an odd function? (b) Which trigonometric functions are even? Which are odd? (c) If sint = 0.4, find sin(-1). (d) If cos s = 0.7, find cos(-s).
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