Please show all work leading to your answer. No work, no credit. No calculators,

Question

Please show all work leading to your answer. No work, no credit. No calculators, unit circles or notes of any kind are allowed on this test 1) Perform the following conversions. Remember, no decimals. a. 250% ans degrees 2). Find the measure of the angle that is co-terminal to when: a. You take two trips around the circle in the positive (counterclockwise) direction. b. You take one trip around the circle in the negative (clockwise) direction. 3. Simplify the following expression using exact values, not decimals b. 2(sin3(CoST) 2 (tan 4. Assume: cos8 t and is in Quadrant IV. Make a sketch and label, find any missing sides, and then find exact values of all six trigonometric functions of angle 8. Use exact values (NO DECIMALS). 5. Make a sketch to help you be careful. a) Find the length of the arc intercepted by a central angle of 225 degrees in a circle whose radius is 8 meters. b) Find the area of the sector of a circle with central angle - i and radius 3 miles. 10

Explanation / Answer

1) a) 1° = ?/180 radian

so 250° = 250(?/180)

= 4.36 radian or 4 radian

b) 3?/10 = (3*180)/10 = 54°

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