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Pg. 408/417/423 Homework Study for Quiz!! #34* R.H.S by cos x#35see verification worksheet #36 #172sinθcosθ + cosθ#182sinθcosθ + cos 2 θ – sin 2 θ (ans vary) #19cos 3 θ – 3sin 2 θcosθ + 2sinθcosθ (ans vary) #203sinθcos 2 θ + cos 2 θ – sin 3 θ – sin 2 θ (ans vary) #21(4sinθ + 1)(cosθ)(cos 2 θ - sin 2 θ) – 2sinθcosθ #22 #19x = 2π/3, 4π/3#20x = π/2, 7π/6, 11π/6 #21x = π/2, 7π/6, 11π/6 #22x = 0.31, 2.83, 4.08, 5.34 #23x = π/3, π, 5π/3
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Quiz Review Solve algebraically. Find the exact value of cos (120 ◦ ) Solve algebraically. sin (2Ɵ) – sin Ɵ = 0 sin(2x) + cos(3x) = 0
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Quiz Review Verifying. Graphing Graph y 1 = cos -1 x and one period length of y 2 = 3cos (2x) + 1 on the same coordinate plane. State the domain and range of both functions.
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Quiz Review Solving Trig Equations Solve over the set of real numbers: tan 2 x > 0 Sinusoids Determine which of the following is a sinusoid. Find its equation in the form y = Asin (bx + α)
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7.1 Transformations and Trig Graphs Phase Shifts and Periods Suppose that y = f(x) is a trigonometric function with period P and that b is a positive number. Then: – The number –c/b is the Phase Shift of y = f(bx + c) – The period of y = f(bx + c) is P/|b| The graph of y = f(bx) is obtained by horizontally shrinking f(x) if b 1. Graph One Period: y = sin (3x) y = cos (½ x) y = sin (x + π/2) y = cos (x – 2) y = sin (2x – π) y = cos (2x + 4)
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