Questions and Answers
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