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The ultimate right-triangle solver. Calculate precise trigonometric ratios from known angle degrees, or work backwards using inverse functions (arcsin, arccos, arctan) to find missing angles from 2 known side lengths.
Find ratio from Angle
Find Angle from sides
SOH CAH TOA is the most famous acronym in mathematics for a reason. It perfectly summarizes the three core trigonometric ratios that define all right-angled triangles. If you know an angle, these ratios tell you exactly how the side lengths must scale relative to each other.
Sine compares the side directly across from the angle (Opposite) to the longest outer wall of the triangle (Hypotenuse).
Cosine compares the side touching the angle (Adjacent) to the longest outer wall of the triangle (Hypotenuse).
Tangent is completely independent of the Hypotenuse. It only compares the Opposite wall directly against the floor wall (Adjacent).
Oftentimes, you are handed a physical triangle where you can measure two of the border walls with a ruler, but you don't have a protractor to measure the inner corner angles. This is where Inverse Trigonometry (arcsin, arccos, arctan) shines.
Share this SOH CAH TOA calculator with your study group or classmates to instantly verify complex inverse trigonometry angles before handing in a test.
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