Exam 2 Spring 2002 - α = x k y sin 7 Find the exact radian...

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Trigonometry Exam #2 March 13, 2002 Name _____________________________ You must show all your work on this paper . Solutions with correct supporting work will not be accepted. You must omit one problem by clearly writing “OMIT” by the problem. You may work the problem you omit for up to 5 points extra credit if you wish. If you do not write “OMIT” by a problem, I will omit the last one for you. All answers must be exact unless indicated otherwise. 1. Give sin α = 3/5, α in Quadrant II, and tan β = 2/3, β in Quadrant I, find: a. sin ( α + β ) b. tan 2 α 2. Verify the identity. x x x tan 2 sin 1 2 sin 2 = 3. Find the exact value of 8 5 cos π . 4. Find the exact value of . ° ° 15 cos 195 sin
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5. Verify the identity. x x x x tan cos 1 tan sin = + + 6. Write the equation x x y cos sin 3 + = in the form , where α is measured in radians.
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Unformatted text preview: ( α + = x k y sin ) 7. Find the exact radian value: a. − − 2 1 cos 1 = _____________ b. − 6 7 sin 1 π sin = ______________ c. − 3 tan sin 1 = ________________ 8. a. Find the exact value of − 4 3 sin 1 sec . b. Solve: ( ) 2 1 sin 1 = − − x 9. Graph 1 2 1 cos 3 ) ( + = x x f . State the period, amplitude, domain, range, and all translations. 10. A tree casts a shadow of 8.34 feet when the angle of elevation of the sun is 55.3 ° . Find the height of the tree to the nearest hundredth of a foot. 11. a. Convert 80 ° to radians. b. Find the exact value of ° − 240 sin 3 cos 6 tan π ....
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