Question

PLS HELP!! SHOW STEPS. (50PTS.)

Answer 1

See Below

Explanation:

`\cos 240 \degree \\ = \cos (180\degree + 60\degree ) \\ = \cos 180\degree \cos60\degree - \sin 180\degree \sin60\degree \\ = ( - 1) * (1)/(2) - 0 * ( √(3) )/(2) \\ = - (1)/(2) - 0 \\ \implies \: \huge \purple{ \cos 240 \degree = - (1)/(2) } \\ \\ \sin 240 \degree \\ = \sin (270\degree - 30\degree ) \\ = \sin 270\degree \cos 30\degree - \cos 270\degree \sin 30\degree \\ = ( - 1) * ( √(3) )/(2) - 0 * (1 )/(2) \\ = - ( √(3) )/(2) - 0 \\ \implies \: \huge \orange{ \sin 240 \degree = - ( √(3) )/(2) }`