Week 17

This week in Precalc 11 we learned a new trigonometry formula known as the sine law. Sine law is used to find the angles and side length of triangles that don’t contain a ninety degree angle. To use this formula you need 3 pieces of information, 2 of which must correspond to one another. For example if you have angle B you need the side length b.

The equation is:

The equation can be reversed as long as the value you are trying to find is on the top of the formula. To solve with the sine law, you use a fraction that has a completed numerator and denominator and another fraction that has either the numerator filled out or the denominator, and disregard the fraction that has nothing filled in.

 

We also learnt another formula called cosine law. Cosine law is used for finding third side of a triangle when two sides and the angle between them are known.

The equation is:

c2 = a2 + b2 − 2ab cos(C)

For example:

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