Solve Trigonometric Equations cc

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Find all values of x in the interval 0 ≤ x ≤ 360° such that sin x = 1/2

30°, 150°

Find all values of x in the interval 0 ≤ x ≤ 360° such that tan x = − 3

120°, 300°

Find all values of x in the interval 0 ≤ x ≤ 360° such that tan x = −1

135°, 315°

Find all values of x in the interval 0 ≤ x ≤ 360° such that sin x = -(√3)/2

240°, 300°

Solve cos x = −1 in the interval 0 ≤ x ≤ 2π giving your answers in terms of π.

π

Solve cos x = 1/2 in the interval 0 ≤ x ≤ 2π giving your answers in terms of π.

π/3, 5π/3

Solve cos θ = 0 in the interval −180° ≤ θ ≤ 180°.

−90°, 90°

Find all values of x in the interval 0 ≤ x ≤ 360° such that sin x = −1

270°

Solve 1 − tan^2θ° = 0 in the interval 0 ≤ θ ≤ 360.

45°, 135°, 225°, 315°

Solve sin x = - 1/(√2) in the interval 0 ≤ x ≤ 2π

5π/4 , 7π/4

Solve √3tanx + 1 = 0 in the interval 0 ≤ x ≤ 2π

5π/6, 11π/6

Solve √2cosx + 1 = 0 in the interval 0 ≤ x ≤ 2π

3π/4, 5π/4


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