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Tuesday, 4 June 2013

Sine Rule

The sine rule

We can use the sine rule to find the size of an angle or length of a side.

The sine rule is:
a over sinA = b over sinB = c over sinC or sinA over a = sinB over b = sinC over c

When to use it

We can use the sine rule when we are given:
Two sides and an angle opposite to one of the two sides.
image: triangle
One side and any two angles.
image: triangle
Question
triangle with a 75 degrees angle
Find the size of angle R.

Remember: Use the formula which has the unknown at the top of the fraction.
Question
triangle with two angles given
Find the length of YZ.
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