Question

Determine os valores de:
y = 4sen600° - 2 cos 330°​

Answer 1

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$\sf 600^\circ=1\cdot360^\circ+240^\circ\\\sf sen(600^\circ)=sen(240^\circ)=-\dfrac{\sqrt{3}}{2}\\\sf cos(330^\circ)=\dfrac{\sqrt{3}}{2}\\\sf y=4sen(600^\circ)-2cos(330^\circ)\\\sf y=\backslash\!\!\!4\cdot\bigg(-\dfrac{\sqrt{3}}{\backslash\!\!\!2}\bigg)-\backslash\!\!\!2\cdot\bigg(\dfrac{\sqrt{3}}{\backslash\!\!\!2}\bigg)\\\sf y=-2\sqrt{3}-2\sqrt{3}=-4\sqrt{3} \checkmark$