Trigonometry - Sine Rule

Sine Rule

Today we will be learning about the Sine Rule and its use in solving problems with triangles.

Observation

1) Drag the points of the triangle to observe the angles and sides of the triangle.[br]2) Observe the value of the ratio on the right side between the angle and the length of the side opposite to the angle.

What do you observe about the 3 ratios?

Click on the correct equations as observed from above.

[math]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/math] [math]\frac{sinA}{b}=\frac{sinB}{c}=\frac{sinC}{a}[/math] [math]\frac{a}{sinB}=\frac{b}{sinA}=\frac{c}{sinC}[/math] [math]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/math]

Information: Trigonometry - Sine Rule