Tangent Calculator
Find tan(θ) for any angle in degrees or radians, with the exact value at multiples of 15° and the other five functions.
Change the values and press Calculate to work out your own figures.
Enter an angle and choose degrees or radians.
Show the working
- θ = 45° = 0.7853981634 rad = π/4
- tan θ = sin θ ÷ cos θ
- = 1
How to use it
Enter an angle and choose degrees or radians.
Enter the values you know (decimals, fractions, surds such as 2√5, or angles such as π/3 in radians). Show the working gives the rule used at each step.
Key facts
tan θ = sin θ ÷ cos θ
Exact values
At multiples of 15° the functions have exact values built from √2, √3 and √6, which the calculator shows alongside the decimal.
Questions
What is tan(60°)?
√3 ≈ 1.732050808.
Degrees or radians?
Choose the unit under the angle; radians can be typed with π, such as π/3.
Formulas
tan θ = sin θ ÷ cos θ
Sources
Limitations
- Angles can be typed in degrees or radians; radians may be written with π (π/3, 2pi/3).