Special Angles
Special Angles
Use exact values for the special angles.
Half of an equilateral triangle of side \(2\) gives the \(30^\circ\) and \(60^\circ\) ratios.
A right-angled isosceles triangle with legs \(1\) gives the \(45^\circ\) ratios.
| Ratio | \(30^\circ\) / \(\dfrac{\pi}{6}\) | \(45^\circ\) / \(\dfrac{\pi}{4}\) | \(60^\circ\) / \(\dfrac{\pi}{3}\) |
|---|---|---|---|
| \(\sin\theta\) | |||
| \(\cos\theta\) | |||
| \(\tan\theta\) |
Values on the axes
| Ratio | \(0^\circ\) / \(0\) | \(90^\circ\) / \(\dfrac{\pi}{2}\) | \(180^\circ\) / \(\pi\) | \(270^\circ\) / \(\dfrac{3\pi}{2}\) | \(360^\circ\) / \(2\pi\) |
|---|---|---|---|---|---|
| \(\sin\theta\) | |||||
| \(\cos\theta\) | |||||
| \(\tan\theta\) |
Choose signs using the quadrant; a positive square has two possible square roots.
Video Solution:
Video solution locked
A free account saves your progress; this video needs tuition enrolment.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Need help? Join our JC Math tuition classes.
Learn more