sin(θ)Quadrant I
0.5
y-coordinate on the unit circle
cos(θ)0.866025
tan(θ)0.57735
cot(θ)1.73205
sec(θ)1.1547
csc(θ)2
x-coordinate0.866025
y-coordinate0.5
Reference angle30.00° (0.523599 rad)
QuadrantQuadrant I (sin+, cos+, tan+)
Angle in degrees30.0000°
Angle in radians0.523599 rad
▸sin(θ) = 0.5000, cos(θ) = 0.8660 - Quadrant I (sin+, cos+, tan+)
- The unit circle point for this angle is (0.8660, 0.5000), where x = cos(θ) and y = sin(θ).
- tan(θ) = 0.57735, which equals sin(θ) / cos(θ) = 0.5000 / 0.8660.
- The reference angle is 30.00° (0.523599 rad) - the acute angle formed between the terminal side and the nearest x-axis.
- This is one of the 17 standard unit circle angles with exact values that are worth memorizing.
Next stepUse the reference angle and the ASTC rule (All Students Take Calculus) to remember sign patterns: All positive in Q1, Sine in Q2, Tangent in Q3, Cosine in Q4.