precalc3-trig

# precalc3-trig - Trigonometry Review Problems 1 Angles Arc...

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Trigonometry Review Problems 1. Angles, Arc Lengths and Areas (a) Suppose that an angle measuring θ radians subtends an arc of a circle of radius r units. What is the length of that arc? What if the angle measured θ degrees? (b) Suppose that an angle measuring θ radians subtends a sector of a circle of radius r units. What is the area of that sector? What if the angle measured θ degrees? 2. Trigonometry via Right Triangles and the Unit Circle You should be comfortable computing trigono- metric functions using both right triangles and the unit circle. (a) For what values of x is sin x = 0? (b) For what values of x is cos x = 0? (c) How can we simplify sin( x + 2 π )? (d) How can we simplify cos( x - 6 π )? 3. Use the symmetry of the unit circle to find the values of each of the following. (a) sin - π 4 (b) cos 2 π 3 (c) tan 11 π 6 (d) sin 13 π 4 4. Find each of the following. (a) sin - 1 3 2 ! (b) cos - 1 - 2 2 ! (c) tan - 1 (1) (d) tan - 1 ( - 1) 5. Simple Trigonometric Identities You should be familiar with two basic trigonometric identities: sin 2 ( x ) +
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