what is cos⁻¹ - √3/2? 5π/6 π/3 7π/6 2π/3 none of these.
what is cos⁻¹ - √3/2? 5π/6 π/3 7π/6 2π/3 none of these.
Answer
Explanation:
Step1: Recall inverse - cosine range
The range of (y = \cos^{-1}(x)) is ([0,\pi]).
Step2: Find the angle whose cosine is (-\frac{\sqrt{3}}{2})
We know that (\cos(\frac{5\pi}{6})=-\frac{\sqrt{3}}{2}) and (\frac{5\pi}{6}\in[0,\pi]).
Answer:
(\frac{5\pi}{6})