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tr-t3 - NAME TEST-03/MAC1114 Page 1 of 4 Read Me First Show...

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NAME: TEST-03/MAC1114 Page 1 of 4 Read Me First: Show all essential work neatly. Use correct notation when presenting your computations. Write using complete sentences. In particular, be very careful when using "=", equals , and " ", implies . Do not "box" your answers. Communicate. 1. (10 pts.) (a) Obtain all solutions to the equation below, and then (b) list the solutions θ with 0 θ < 2 π . sin(2 θ ) = -1 2. (5 pts.) Write the equation of a cosine function that has all the given characteristics: Amplitude = 6 Period = 2 Phase Shift: -(1/2) 3. (10 pts.) Carefully sketch y = 2 sin(2 π x - ( π /2)) through at least one period. You will need the amplitude, period, and phase shift to do this. Amplitude = Period = Phase Shift = y x
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TEST-03/MAC1114 Page 2 of 4 4. (10 pts.) (a) Obtain all solutions to the equation below, and then (b) list the solutions θ with 0 θ < 2 π . 2 sin 2 ( θ ) - 3 sin( θ ) + 1 = 0 5. (10 pts.) A right triangle has one angle of 35° and one leg of length 100 meters. What are the two possible lengths for the hypotenuse?? [You may want to sketch the two situations.] 6. (5 pts.) A triangle has two sides with lengths 5 feet and 8
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