• Radians are a fundamental component of year 11 and 12 Trigonometry
• They are another unit for angle, like degrees
• They can be calculated from degrees using the following formula:

$$\color{lightblue}{Radians = Degrees\cdot \frac{180}{\pi}}$$

$$\color{lightblue}{Degrees = Radians\cdot \frac{\pi}{180}}$$

• Here’s an easy way to remember radians conversions:
$$sin(0)$$$sin(0^\circ)$$\frac{\sqrt{0}}{2}$$cos(90^\circ)$$cos\frac{\pi}{2} $$sin(\frac{\pi}{6})$$sin(30^\circ)$$\frac{\sqrt{1}}{2}$$cos(60^\circ)$$cos\frac{\pi}{3}$
$$sin(\frac{\pi}{4})$$$sin(45^\circ)$$\frac{\sqrt{2}}{2}$$cos(45^\circ)$$cos\frac{\pi}{4} $$sin(\frac{\pi}{3})$$sin(60^\circ)$$\frac{\sqrt{3}}{2}$$cos(30^\circ)$$cos\frac{\pi}{6}$
$sin(\frac{\pi}{2})$$sin(90^\circ)$$\frac{\sqrt{4}}{2}$$cos(0^\circ)$$cos(0)$
⬆ The number in the square root: 0, 1, 2, 3, 4

Sine and Cosine Rule

Sine Rule

$$\color{lightblue}{\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}}$$

Cosine Rule

Sides: $${\color{Red} a}{\color{Cyan} =\sqrt{{\color{Red} b}^2 +{\color{Red} c}^2 -2{\color{Red} bc}\cdot cos{\color{Green} A}}}$$

Angles: $${\color{Green} A}{\color{Cyan} =cos^{-1}\frac{{\color{Red} b}^2 + {\color{Red} c}^2 -{\color{Red} a}^2}{2{\color{Red} bc}}}$$