Question

Solve for X in the given interval. sec x = -2sr3/3, for pi/2 less than or equal to x less than or equal to pi

Answer 1

Answer:

B

Step-by-step explanation:

Using the trig. identity

cos x = $\frac{1}{secx}$

Given

secx = - $\frac{2\sqrt{3} }{3}$ , then

cos x = - $\frac{3}{2\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = - $\frac{3\sqrt{3} }{6}$ = - $\frac{\sqrt{3} }{2}$ , thus

x = $cos^{-1}$ (- $\frac{\sqrt{3} }{2}$ ) = $\frac{5\pi }{6}$ → B