Answer:
See Below
Step-by-step explanation:
[tex] \cos 240 \degree \\ = \cos (180\degree + 60\degree ) \\ = \cos 180\degree \cos60\degree - \sin 180\degree \sin60\degree \\ = ( - 1) \times \frac{1}{2} - 0 \times \frac{ \sqrt{3} }{2} \\ = - \frac{1}{2} - 0 \\ \implies \: \huge \purple{ \cos 240 \degree = - \frac{1}{2} } \\ \\ \sin 240 \degree \\ = \sin (270\degree - 30\degree ) \\ = \sin 270\degree \cos 30\degree - \cos 270\degree \sin 30\degree \\ = ( - 1) \times \frac{ \sqrt{3} }{2} - 0 \times \frac{1 }{2} \\ = - \frac{ \sqrt{3} }{2} - 0 \\ \implies \: \huge \orange{ \sin 240 \degree = - \frac{ \sqrt{3} }{2} } [/tex]
