Trigonometric Identities
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Solving Trig Identities Between Limits
Solve tanθ = √3 between 0 < θ ≤ 360°
tanθ = √3
θ = 60° or 270°
But what happens when θ is affected:
Solve sin4θ = 0 between 0 ≤ θ ≤ 360°
The boundaries become:
0 ≤ 4θ ≤ 1440°
4θ = 0°, 180°, 360°, 540°, 720°, 900°, 1080°, 1260°, 1440°
θ = 0°, 45°, 90°, 135°, 180°, 225°, 270°, 315°, 360°
tanθ = √3
θ = 60° or 270°
But what happens when θ is affected:
Solve sin4θ = 0 between 0 ≤ θ ≤ 360°
The boundaries become:
0 ≤ 4θ ≤ 1440°
4θ = 0°, 180°, 360°, 540°, 720°, 900°, 1080°, 1260°, 1440°
θ = 0°, 45°, 90°, 135°, 180°, 225°, 270°, 315°, 360°
Quadratic Trig Functions
Important Exact Trig Values
You need to know these values