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Stitz-Zeager_College_Algebra_e-book

# 6 using theorem 1021 we have that cos5x cos3x 2 sin

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Unformatted text preview: of classical applications involving sinusoids far outnumber those involving tangent and cotangent functions, we omit this. The ambitious reader is invited to formulate such a theorem, however. 10.5 Graphs of the Trigonometric Functions 10.5.4 691 Exercises 1. Graph one cycle of the following functions. State the period, amplitude, phase shift and vertical shift of each. (a) y = 3 sin(x) (b) y = sin(3x) (c) y = −2 cos(x) π (d) y = cos x − 2 π (e) y = − sin x + 3 (f) y = sin(2x − π ) 1 π 1 (g) y = − cos x+ 3 2 3 (h) y = cos(3x − 2π ) + 4 (i) y = sin −x − (j) y = π −2 4 2 π cos − 4x + 1 3 2 3 π 1 (k) y = − cos 2x + − 2 3 2 (l) y = 4 sin(−2πx + π ) 2. Graph one cycle of the following functions. State the period of each. (a) y = tan x − (b) y = 2 tan π 3 1 x −3 4 1 tan(−2x − π ) + 1 3 (d) y = sec x − π 2 π (e) y = − csc x + 3 1 1 π (f) y = − sec x+ 3 2 3 (c) y = (g) y = csc(2x − π ) (h) y = sec(3x − 2π ) + 4 π −2 (i) y = csc −x − 4 π (j) y = cot x + 6 1 x (k) y = −11 cot 5 (...
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