MATH 1430 - 3A (SP/12-13) Exam 2 - Practice Test
Name: ______
1. Let θ=7π4,
a) Draw θ in standard position. *
b) Find the reference angle for θ in radians in terms of π. *
c) Using the point and distance found in part b), find the exact values of sinθ,cosθ and tanθ. ***
2. If angle θ is in standard position and intersects the unit circle at the point -31010,1010, find the exact value of sinθ,cosθ, and tanθ. ****
3. Suppose that a directed arc on the unit circle starts at the point 1,0 and has length of s=-2.9 units. Approximate the coordinates of the point x,y at which the arc terminates. Use the appropriate number of significant digits. ***
4. Let y=-2+3sin12x+π2.
a) What is the amplitude of the sinusoid? *
b) What is the period of the sinusoid? *
c) What is the phase shift of the sinusoid? *
d) Graph one complete cycle of the sinusoid. Use the blank space below or the grid on the next page. ****
5. Evaluate. Give the answer in radians in terms of π. (NO DECIMALS)
a) arcsin1 *
b) tan-1-3 *
c) arccos-32 *
6. Find the exact value of cossin-113. **
7. Consider a center-pivot irrigation system that is 1/8 of a mile long. Suppose it makes one complete revolution every 48 hours. Answer each of the following questions rounding to 3 decimal places.
a) What is the angular velocity of the irrigation system in radians per hour? **
b) How many feet has the tip of the outermost tower traveled in 6 hours? **
c) What area has the irrigation system covered in 32 hours in square miles? **
d) What is the linear speed of the tip of the outermost tower in feet per minute? **
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