Tangent Calculator
tan(x) = sin(x) / cos(x). Undefined where cos(x) = 0 (at 90°, 270°, …).
Result
tan(45°)
1.00000000
- sin0.707107
- cos0.707107
- sin / cos0.7071 / 0.7071 = 1.000000
Step-by-step
- 45° → 0.785398 rad.
- tan = sin / cos = 0.707107 / 0.707107 = 1.00000000.
How to use this calculator
- Enter the angle.
- Read tan; the breakdown shows sin and cos used in the calculation.
About this calculator
tan(x) = sin(x) / cos(x). On the unit circle, tan is the slope of the radius. Period π (not 2π). Vertical asymptotes where cos = 0 (at 90°, 270°, etc.). tan(45°) = 1; tan(0°) = 0.
Frequently asked
cos(90°) = 0, and division by zero is undefined. tan has a vertical asymptote there.
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