HAAT - Mr. Hayes
7.6 - Trigonometric Equations
Retake Review
Name: ___________________________________
Date: ______________________
As always, please show work when appropriate. See Mr. Hayes and your book if you need help.
3.0 Questions
5.0 Questions
Solve the equation in the interval [0 °, 360°).
1) 4 sin2 θ = 3
Solve the equation for solutions in the interval [0°, 360°).
8) sin 2θ = cos θ
2) 3 sin2 θ - sin θ - 4 = 0
9) sin 2θ = - 3) 2 cos3 θ = cos θ
1
2
10) 2 cos2θ + 7 sin θ = 5
4) sin 2θ = -sin θ
11) csc θ = 1 + cot θ
Solve the equation for the interval [0, 2 π).
5) cos2 x + 2 cos x + 1 = 0
Solve the equation for solutions in the interval [0, 2 π).
12) sin2 2x = 1
6) sin2 x - cos2 x = 0
13) cos 2x = 2 - cos 2x
7) sin2 x + sin x = 0
14) sin 2x + sin x = 0
1
Answer Key
Testname: 7.6
1)
2)
3)
4)
5)
{60°, 120°, 240°, 300°}
{270°}
{45°, 90°, 135°, 225°, 270°, 315°}
{0°, 120°, 180°, 240°}
{π}
π 3π 5π 7π
, , , 6)
4
4
4 4
7) 0, π, 3π
2
8) {30°, 90°, 150°, 270°}
9) {105°, 165°, 285°, 345°}
10) {90°, 48.6°, 131.4°}
11) {90°}
π 3π 5π 7π
, , , 12)
4
4
4 4
13)
π 9π 7π 15π
, , , 8 8
8
8
14) 0, 2π
4π
, π, 3
3
2