Question

If g(x)= 4 cos x-2 sinx then g(330°)=?
A) 8 √2+3 B)2 √3 +1 C)4 √3-2 D)6 √2-4

Answer 1

Everywhere you see an x, replace it with 330. Then evaluate. Use the unit circle to find the values of sin(330) and cos(330)

`g(x) = 4\cos(x)-2\sin(x)\\\\g(330^(\circ)) = 4\cos(330^(\circ))-2\sin(330^(\circ))\\\\g(330^(\circ)) = 4(√(3))/(2)-2\left(-(1)/(2)\right)\\\\g(330^(\circ)) = 2√(3)+1\\\\`

Answer: Choice B