Stitz-Zeager_College_Algebra_e-book

If we wished to plot the point p with polar

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Unformatted text preview: 2 (n) sin(x) + cos(x) = 1 (o) cos(4x) = cos(2x) (p) sin(5x) = sin(3x) (q) cos(5x) = − cos(2x) (i) tan(2x) − 2 cos(x) = 0 (r) 2 tan(x) = 1 − tan2 (x) √ √ (s) 3 3 sin(3x) − 3 cos(3x) = 3 3 (j) csc3 (x) + csc2 (x) = 4 csc(x) + 4 (t) sin(6x) + sin(x) = 0 3. Solve the following inequalities. Express the exact answers in interval notation, restricting your attention to 0 ≤ x ≤ 2π . (a) sin (x) ≤ 0 √ (b) tan (x) ≥ 3 (c) sec2 (x) ≤ 4 1 (d) cos2 (x) > 2 (e) cos (2x) ≤ 0 π 1 (f) sin x + > 3 2 1 (g) cot2 (x) ≥ 3 10.7 Trigonometric Equations and Inequalities 743 4. Solve the following inequalities. Express the exact answers in interval notation, restricting your attention to −π ≤ x ≤ π . √ 3 3 (c) sin2 (x) < (a) cos (x) > 4 2 (d) cot (x) ≥ −1 (b) sec (x) ≤ 2 (e) cos(x) ≥ sin(x) 5. Solve the following inequalities. Express the exact answers in interval notation, restricting your attention to −2π ≤ x ≤ 2π . (a) csc (x) > 1 (c) sin(2x) ≥ sin(x)...
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