6\nmultiple choice 1 point\ngive the exact value.\ncos 30°\n√3/2\n2√3/3\n√3\n√2/2\n7\nmultiple choice 1 point

6\nmultiple choice 1 point\ngive the exact value.\ncos 30°\n√3/2\n2√3/3\n√3\n√2/2\n7\nmultiple choice 1 point
Answer
Explanation:
Step1: Recall the cosine value of special angles
We know that for a (30^{\circ}-60^{\circ}-90^{\circ}) right - triangle, if the hypotenuse (c = 2), the adjacent side (x) to the (30^{\circ}) angle is (\sqrt{3}) (using the Pythagorean theorem (a^{2}+b^{2}=c^{2}), where (a = 1), (b=\sqrt{3}), (c = 2) for a (30^{\circ}-60^{\circ}-90^{\circ}) triangle with side ratios (1:\sqrt{3}:2)). The cosine function is defined as (\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}). For (\theta = 30^{\circ}), (\cos30^{\circ}=\frac{\sqrt{3}}{2})
Answer:
(\frac{\sqrt{3}}{2})