Law of sines

Law of sines: use known side a, opposite angle a, target angle b. Review the formula, worked example and calculation steps.

Inputs

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RESULT
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Formula & explanation
b = a sin B / sin A

Variables & units

Known side a
m · minimum 0.000001, maximum 1000000000000
Opposite angle A
° · minimum 0.000001, maximum 179.999999
Target angle B
° · minimum 0.000001, maximum 179.999999

Worked example

a=5 opposite 30°, B=90° gives b=10.

Assumptions

Solves a triangle with two known angles. It does not silently choose a branch in the ambiguous SSA case.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

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