Unit circle & exact values
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Flip to reveal answersUnit-circle coordinates at angle θ?
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Question
Unit-circle coordinates at angle θ?
Answer
(cos θ, sin θ): cos is x, sin is y.
Question
Exact sin/cos of 30°?
Answer
sin 30° = ½, cos 30° = √3/2.
Question
Exact sin/cos of 45°?
Answer
sin 45° = cos 45° = √2/2 (= 1/√2).
Question
Exact sin/cos of 60°?
Answer
sin 60° = √3/2, cos 60° = ½.
Question
tan of 30°, 45°, 60°?
Answer
1/√3, 1, √3.
Question
What is CAST?
Answer
Positive ratios by quadrant: All (Q1), Sin (Q2), Tan (Q3), Cos (Q4).
Question
sin(180° − θ) = ?
Answer
sin θ — supplementary angles share the same sine.
Question
cos(180° − θ) = ?
Answer
−cos θ.
Question
Given cos θ = 2/3 (acute), find sin θ.
Answer
sin²θ = 1 − 4/9 = 5/9 ⇒ sin θ = √5/3.
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Unit circle & exact values
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