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6) Write each of these as a single trig function and then evaluate: Do not use a calculator to evaluate. Answers must be exact!

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6) Write each of these as a single trig function and then evaluate: Do not use a calculator to evaluate. Answers must be exact! a) 2 sin 67.5cos67.5 d) cos222.5 - sin 22.5 b) sin73cos17 + cos 73sin17 tan 84-tan24 t) 1+tan 84tan24 7) Solve 2sinx - 3 = 0 over [0,3) 8) Find the general solutions to sin(x-1) = 1 9) Solve cos(3x) = 2 over [0, 2). (Hint: find the general solutions first) 10) Solve 2sin2x + 3sinx-2=0 over [0, 2) 11) Solve the following equation on the interval [0, 2). sin x cosx sin x = 0

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