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Unformatted text preview: MATH 1160 Review for Exam 3: Sections 4.5, 5.1 - 5.4, 6.1 - 6.5 1. Given the following angles, find (i) both degree and radian measure, (ii) a positive and negative angle with is coterminal with θ , (iii) the reference angle and quadrant for θ , (iv) the six trigonometric values of θ . (a) θ =- 480 ◦ (b) θ = 5 π 6 (c) θ =- 225 ◦ (d) θ = 11 π 12 2. Given the figure below and that sin β = 1 2 , find the exact values of the following: (a) x , y , z (b) β (c) sin α , sec α (d) cos θ , csc θ (e) tan β 3. The terminal side of an angle α in standard position lies on the line 2 x- 7 y = 0 in Quadrant III. Find sin α , cos α and tan α . 4. Find the length of an arc of a circle given a central angle of π/ 3 and a radius of 16 cm. 5. An old watermill has a waterwheel with a radius of 7 ft. The linear speed of a point on the rim of the wheel is 38 ft/min. Find the angular speed of the wheel in rad/sec. In rev/min?...
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- Fall '09
- Physics, Sin, home port, Forrest Island.