5.3 Solving Trig Equations by RHO
30°, 150°
Find all values of x in the interval 0 ≤ x < 360° such that 2sin²x + 5sinx - 3 = 0
π/6, 11π/6
Solve 2cosx - √3 = 0 in the interval 0 ≤ x < 2π
π/6, 5π/6, 3π/2
Solve 2sin²x + sinx = 1 in the interval 0 ≤ x < 2π
π/3 and 4π/3
Solve 2tanx - √3 = tanx in the interval 0 ≤ x < 2π
π/6 + 2πn and 5π/6 + 2πn
Solve 4tan²x - 1 = tan²x
π
Solve cos x = −1 in the interval 0 ≤ x < 2π.
−90°, 90°
Solve cos θ = 0 in the interval −180° ≤ θ ≤ 180°.
3π/2
Solve cos(x/3) = 0 in the interval 0 ≤ x < 2π
π/2, π/6, 5π/6, 3π/2
Solve cosx = 2sinx cosx in the interval 0 ≤ x < 2π (HINT: set = 0, then factor GCF)
5π/6, 11π/6
Solve √3tanx + 1 = 0 in the interval 0 ≤ x < 2π
π/6 + 2π and 5π/6 + 2πn
Find all solutions to 2sin x - 1 = 0
π/3 + πn
Find all solutions to 3√(3)cot(x)=3
π/12 + πn/2 and 5π/12 + πn/2
Find all solutions to 4cos²(2x) - 3 = 0
π/3 + 2πn and 5π/3 + 2πn
Find all solutions to csc(x)-2cot(x)=0
π/2 + 2πn
Find all solutions to sin²x + sinx = 2
3π/4 +πn
Find all solutions to tanx + 1 = 0
120°, 240°
Find all values of x in the interval 0 ≤ x < 360° such that 2cos²x - 3cosx = 2
30°, 150°, 210°, 330°
Find all values of x in the interval 0 ≤ x < 360° such that 4cos²x - 3 = 0
π/4, 3π/4,5π/4, 7π/4
Solve 4 cos²x -2 = 0 in the interval 0 ≤ x < 2π
5π/6 , 7π/6
Solve for 0 ≤ x < 2π: 2cosx + √3 = 0
0
Solve for 0 ≤ x < 2π: 4 cosx - 3 = 1
0, π
Solve for 0 ≤ x < 2π: sinx cosx - 3sinx = 0
0, 2π/3, 4π/3
Solve for 0 ≤x < 2π : 2cos²x - cosx = 1
3π/4 and 5π/4
Solve √2cosx + 1 = 0 in the interval 0 ≤ x < 2π
πn and 3π/2 +2πn
Solve sin²x + sinx = 0
π/4 and 5π/4
Solve tan²x = tan x in the interval 0 ≤ x < 2π
5π/24 + πn/2 and 7π/24 + πn/2
Find all solutions to 2cos(4x) + √3 = 0