# IB Math Studies – Trigonometry

1. Sine Rule IB Math Studies

IB Mathematical Studies – Trigonometry, Sine Rule

How can we find the side of a triangle ABC given that ?

Solution

IB Maths SL – Trigonometry, Sine Rule

The Sine rule states

So, in this the side can be calculated as follows:

2. IB Math Studies Cosine Rule

IB Mathematical Studies – Trigonometry, Cosine Rule

How can we find the side of a triangle ABC given that ?

Solution

IB Mathematical Studies – Trigonometry, Cosine Rule

The Cosine rule states

So, in this case the side can be calculated as follows:

3. Area of a triangle Math Studies

IB Mathematical – Trigonometry, Area of a triangle

How can we find the area of a triangle ABC with sides  and included angle ?

Solution

IB Mathematical – Trigonometry, Area of a triangle

The area of a triangle is a half of the product of two sides and the sine of the included angle.

Therefore, in this case, we have the following