thomasedunn26
thomasedunn26 thomasedunn26
  • 06-04-2020
  • Mathematics
contestada

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

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jimthompson5910 jimthompson5910
  • 06-04-2020

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)

[tex]g(x) = 4\cos(x)-2\sin(x)\\\\g(330^{\circ}) = 4\cos(330^{\circ})-2\sin(330^{\circ})\\\\g(330^{\circ}) = 4\frac{\sqrt{3}}{2}-2\left(-\frac{1}{2}\right)\\\\g(330^{\circ}) = 2\sqrt{3}+1\\\\[/tex]

Answer: Choice B

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