Trigonometry Calculator (sin, cos, tan, sec, csc, cot)
Enter an angle and choose degrees or radians.
Your numbers
Your results
sin
sin
—
cos
—
tan
—
csc = 1/sin
—
sec = 1/cos
—
cot = 1/tan
—
Reference angle (degrees)
—
Coterminal angle in 0 to 360°
—
Trigonometry Calculator (sin, cos, tan, sec, csc, cot) by TheCalcTools
How the Trigonometry Calculator (sin, cos, tan, sec, csc, cot) works
On the unit circle, cos θ is the x-coordinate and sin θ the y-coordinate of the point at angle θ. tan = sin/cos, and csc, sec and cot are the reciprocals of sin, cos and tan.
tan and sec are undefined where cos θ = 0 (90°, 270°), and csc and cot where sin θ = 0 (0°, 180°); they show as —.
The formula
tan θ = sin θ ÷ cos θ; csc = 1/sin, sec = 1/cos, cot = 1/tan
Worked example
Using the default values shown in the calculator:
| Angle | 30 |
|---|---|
| Unit | Degrees |
- sin 30° = 0.500000, cos 30° = 0.866025, tan 30° = 0.577350.
Result:
| sin | 0.5000 |
|---|---|
| cos | 0.8660 |
| tan | 0.5774 |
| csc = 1/sin | 2.0000 |
| sec = 1/cos | 1.1547 |
| cot = 1/tan | 1.7321 |
| Reference angle (degrees) | 30.0000 |
| Coterminal angle in 0 to 360° | 30.0000 |
Frequently asked questions
What is sin 30°?
Exactly 0.5.
Why does my calculator give a strange sin(30)?
It is probably in radians: sin(30 rad) ≈ −0.988.
Sources and further reading
- Wikipedia: Trigonometric functions
- Wikipedia: Unit circle
- NIST Digital Library of Mathematical Functions
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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.