University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

419

Pages:

4
Author:

Ahmad Farmer

Graphing Trig Functions Review Worksheet Key 1. Complete each of the following by using the graph of the trig function. 1) Asx0, sin x → 2) Asx, sinx 2 3) Asx cos x → 4 52/2 4) As x, cosx 5) Asx0, cscx-00 6) π Asx, CSC X 2 7) As 2 secx→ 00 8) π Asx secx 2 √2 9) Asx tan 14 10) Astan x 2 00 11 11) Asx cotx 4 12) Asx→0, cotx II. Find the period. If applicable, find the amplitude and phase shift. If applicable, find the asymptotes. Then graph. f(x)=3sin π 24 2) f(x)=2cos(3x-)-1 3) 1 f(x)=-4sinxー 3 3 4) f(x)=-csc(2x-x) 5) f(x)=3sec(x+ 6) f(x)=(2x- 1 3 f(x)=4 cot 8) f(x)= tan 4 9) f(x) = \sin x PreCalculus Section 4.7 Worksheet Evaluate the expression without a calculator. arcsin √2 2 = 2) arccos 2 3) arctan(-1) = 4) arcos= 5) arcsin(1) = 6) arctan(√3) = 7) arccos(0) = 8) arctan(1) = 9) arcsin(-) 10)aresin √3 2 = 11) arccos2 12) arctan(0) = 13) sin(arctan(-)) A 14) esc(arccos(-) 5 13 15) tan(arcsin Professional Development Institutes Department of Mathematical Sciences ① f(x) = 3sin(1/2x + π/4) - 2 Pd: 4π A: 3 Ps: L + π/2 Points: (-π/2, -1) (π/2, 1) (3π/2, -2) (5π/2, -5) (7π/2, -2) ② f(x) = 2cos(3x - π) - 1 Pd: 2π/3 A: 2 Ps: R + π/3 Points: (π/6, -1) (π, 1) (7π/6, -3) ③ f(x) = -4sin(1/3x - π/3) Pd: 6π A: 4 Ps: R + π Points: (π/3, 0) (4π/3, 4) (7π/3, 0) (10π/3, -4) Professional Development InstitutesDepartment of Mathematical Sciences ④ f(x) = 1/2 * csc(2x-π) + 1/2 * csc[2(x-π/2)] Pd: π Ps: R + π/2 Asy: x = π/2, π, 3π/2 x = 0 + πn x = π/2 + πn Points: (π/4, 1/2), (3π/4, -1/2) ⑤ f(x) = 3sec(1/2x + π/2) - 2 Pd: 4π Ps: L + π Asy: x = 0, 2π Points: (π/2, 1), (3π/2, 3), (5π/2, 3) ⑥ f(x) = 1/3 tan(2x-π/2) + 1/3 tan 2(x-π/4) Pd: π/2 Ps: R + π/4 Asy: x = π/4 or π/2 Points: (5π/8, -1/3), (3π/4, 0), (7π/8, 1/3) Professional Development InstitutesDepartment of Mathematical Sciences ④ f(x) = 4 cot(1/5(x-π/2)) Pd: 3π Ps: R + π/2 Asy: x = π/2, 2π, 7π/2 x = π/2 + 3πn Points: (5π/4, 4), (7π/4, 0), (9π/4, -4) ⑤ f(x) = -1/4 tan(1/2(x-π)) Pd: 2π Ps: R + 2π Asy: x = 3π/2, 7π/2 Points: (π, 0), (5π/2, 1/4), (3π, 0) ⑥ y = sin x f(x) = |sin x| A: 1 Pd: π