Stitz-Zeager_College_Algebra_e-book

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Unformatted text preview: 2x − π ) Start with y = sin(2x − π ) Period: π 1 π 2 −1 3π 4 π 5π 4 3π 2 x y (h) y = sec(3x − 2π ) + 4 Start with y = cos(3x − 2π ) + 4 2π Period: 3 5 4 3 2π 3 π −2 4 π Start with y = sin −x − −2 4 Period: 2π 5π 6 π 7π 6 4π 3 x y (i) y = csc −x − −π 4 −1 −2 −3 π 4 3π 4 5π 4 7π 4 x 10.5 Graphs of the Trigonometric Functions 699 y π (j) y = cot x + 6 Period: π 1 π 12 −π 6 π 3 7π 12 5π 6 x −1 (k) y = −11 cot y 1 x 5 Period: 5π 11 −11 1 3π cot 2x + 3 2 π Period: 2 (l) y = 5π 4 5π 2 15π 4 5π x y +1 4 3 1 2 3 π π π π π − 34 − 58 − 2 − 38 − 4 x 700 Foundations of Trigonometry √ √ π 7π +1 + 1 = 2 cos x + 4 4 √ 4π 11π = 6 cos 3x + (b) f (x) = 3 3 sin(3x) − 3 cos(3x) = 6 sin 3x + 6 3 √ √ 3π π (c) f (x) = − sin(x) + cos(x) − 2 = 2 sin x + − 2 = 2 cos x + −2 4 4 √ 1 4π 5π 3 (d) f (x) = − sin(2x) − cos(2x) = sin 2x + = cos 2x + 2 2 3 6 3. (a) f (x) = 2 sin(x) + 2 cos(x) + 1 = 2 sin x + 10.6 The Inverse Trigonometric Functions 10.6 701 Th...
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