Back to all chapters


The basics, the laws and relationships, and roots of unity.

A preview of "Trigonometry" Join Brilliant Premium

Right triangle \(\triangle ABC\) has a right angle at \(B\), and \(\angle BAC = 30^{\circ} = \frac{\pi}{6}\). Find \[\sin\angle BAC + \cos\angle BCA.\]

In triangle \(\triangle ABC\), \(AB = 3, AC = 4\), and \(\angle ABC = \frac{\pi}{2}\). What is \(BC\)?

Let \(ABC\) be an equilateral triangle. Point \(D\) lies on \(BC\) so that \(\angle BAD = 15^{\circ}\). Find \(\frac{[BAD]}{[CAD]}\).

Master the problem solving skills of Ace the AMC.

Join Brilliant

Problem Loading...

Note Loading...

Set Loading...