Trigonometric Functions in Degrees
Degrees are the most commonly used unit for measuring angles in everyday mathematics, navigation, and engineering. A full rotation is 360 degrees. This calculator takes any angle in degrees and computes all six trigonometric functions.
Common Degree Values
0 Degrees
sin=0, cos=1, tan=0
Positive x-axis direction
30 Degrees (pi/6)
sin=0.5, cos=sqrt(3)/2, tan=1/sqrt(3)
First quadrant standard angle
45 Degrees (pi/4)
sin=cos=sqrt(2)/2, tan=1
Equal opposite and adjacent sides
60 Degrees (pi/3)
sin=sqrt(3)/2, cos=0.5, tan=sqrt(3)
Equilateral triangle half-angle
90 Degrees (pi/2)
sin=1, cos=0, tan=undefined
Positive y-axis direction
180 Degrees (pi)
sin=0, cos=-1, tan=0
Negative x-axis direction
Converting Degrees to Radians
To convert degrees to radians, multiply by pi/180. For example, 90 degrees = 90 x pi/180 = pi/2 radians.
Quadrant Signs
- Quadrant I (0-90): All functions positive
- Quadrant II (90-180): Only sin and csc positive
- Quadrant III (180-270): Only tan and cot positive
- Quadrant IV (270-360): Only cos and sec positive