Enter decimal (0.5 or 0,5), fraction (1/2), or root expression (√2/2, √3/2)
This calculator converts sine values to tangent values using fundamental trigonometric relationships. Enter any valid sine value between -1 and 1, and the calculator will compute the corresponding tangent value along with additional trigonometric information.
Core Formula
tan θ = sin θ / cos θ
cos θ = ±√(1 - sin²θ)
Example Calculation
Input: sin θ = 0.5Step 1: cos θ = ±√(1 - 0.5²) = ±√(1 - 0.25) = ±√0.75 = ±0.866
Step 2: tan θ = 0.5 / 0.866 = ±0.577
Result: Tangent = ±0.577
Accepts decimal numbers (0.5), fractions (1/2), and root expressions (√2/2)
Supports both comma and period as decimal separators
Provides both positive and negative solutions for cosine and tangent
Displays corresponding angles in degrees and radians
Includes visual unit circle representation
Customizable decimal precision from 2 to 8 decimal places
Important: The calculator returns ± values because for any given sine value (except ±1), there are two possible angles in the range [0, 2π], resulting in two possible cosine values and therefore two possible tangent values. Tangent is undefined when cosine equals zero (at 90° and 270°).