Free Printable PRECALC: Chapter 5.1-5.3 REVIEW

1.

Solve on the Interval [0,2π)
tan(x)+1=2

a)

0 and π

b)

3π/4 and 7π/4

c)

π/4 and 5π/4

d)

3π/4 and 5π/4

2.

Solve on the domain [0, 2π)
cos² x + sin x + 1 = 0

a)

π

b)

3π/2

c)

π/6, 5π/6, 3π/2

d)

No solution

3.

Solve for 0≤x≤2π

2sin²x - 5sinx + 2 = 0

a)

π/6, 5π/6

b)

7π/6, 11π/6

c)

π/3, 2π/3

d)

4π/3, 5π/3

4.

Solve for 0≤x≤2π

tanx = 1

a)

π/2, π

b)

π/4, 3π/4

c)

π/4, 5π/4

d)

3π/4, 7π/4

5.

Solve for 0≤x≤2π

2cos²x = cosx + 1

a)

2π/3, 4π/3

b)

π/3, 2π/3

c)

0, 2π

d)

π

6.

$Solve\sin x=\frac{\sqrt{3}}{2}\ for\ 0≤x≤2\pi$

a)

$\frac{\pi}{6},\frac{5\pi}{6}$

b)

$\frac{\pi}{3},\frac{5\pi}{3}$

c)

$\frac{\pi}{6},\frac{11\pi}{6}$

d)

$\frac{\pi}{3},\frac{2\pi}{3}$

7.

$Solve\sin2⁡x=\frac{\sqrt{3}}{2}\ for\ \left[0,2\pi\right]$

a)

$\frac{\pi}{6},\frac{5\pi}{6}$

b)

$\frac{\pi}{6},\frac{\pi}{3},\frac{7\pi}{6},\frac{4\pi}{3}$

c)

$\frac{\pi}{3},\frac{2\pi}{3}$

8.

$Solve\cos⁡2x=-\frac{\sqrt{3}}{2}\ for\ 0≤x≤360°$

a)

150, 210

b)

120, 150, 300, 330

c)

45, 315

d)

75, 105, 255, 285

9.

Solve: 2cos²θ -1=0 on [0, 2π).

a)

θ = π /4, 7π /4

b)

θ = π /4, 3π /4

c)

θ = 3π /4, 5π /4

d)

θ = π /4, 3π /4, 5π /4, 7π /4

10.

Solve the trigonometric equation:

2\cos\left(x\right)+\sqrt{2}=0

a)

$\frac{3\pi}{4},\frac{5\pi}{4}$

b)

$\frac{\pi}{4},\frac{3\pi}{4}$

c)

$\frac{5\pi}{4},\frac{7\pi}{4}$

d)

$\frac{\pi}{2},\ \frac{3\pi}{2}$

PRECALC: Chapter 5.1-5.3 REVIEW

Total questions: 10

Worksheet time: 3hrs 30mins

Similar Resources on Wayground