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# Sine and cosine law calculator

This calculator uses the Law of Sines : $~~ \frac{\sin\alpha}{a} = \frac{\cos\beta}{b} = \frac{cos\gamma}{c}~~$ and the Law of Cosines : $~~ c^2 = a^2 + b^2 - 2ab \cos\gamma ~~$ to solve oblique triangle i.e. to find missing angles and sides if you know any 3 of the sides or angles. Also, the calculator will show you a step by step explanation.

Sine and Cosine Law Calculator
Input value you know and select what to compute.( show help ↓↓ )
0123456789/.del
I want to calculate:
view examples ↓↓
Input three elements of a triangle
use letter r to input square root. Ex: $3\sqrt{2} = \text{3r2}$
side $a$
= side $b$
=
side $c$
=
angle $\alpha$
=
angle $\beta$
=
angle $\gamma$
=

working...
examples
example 1:ex 1:
A triangle has sides equal to $3 m$, $5 m$ and $6 m$. Find angle $\alpha$.
example 2:ex 2:
What is the length of side c? example 3:ex 3:
Find angle $\beta$. Quick Calculator Search