Question

Solve for x in the given interval.

sec x= -2√3/3, for π/2 ≤x≤π

Answer 1

Answer B.

Explanation:

5pi/6

Answer 2

b.
`x=(5\pi)/(6)`

Explanation:

The given function is

`\sec x=-(2√(3) )/(3),\:\:for\:\:(\pi)/(2)\le x \le \pi`

Recall that the reciprocal of the cosine ratio is the secant ratio.

This implies that;

`(1)/(\cos x)=-(2√(3) )/(3)`

`\Rightarrow \cos x=-(3)/(2√(3) )`

`\Rightarrow \cos x=-(√(3))/(2)`

We take the inverse cosine of both sides to obtain;

`x=\cos^(-1)(-(√(3))/(2))`

`x=(5\pi)/(6)`