Question

Csc x= -√2 for π≤x≤3π/2

Answer 1

Answer A.

Explanation:

5pi/4

Answer 2

A

Explanation:

We can write this as Sinx by "flipping" the
`-√(2)`.

So we will have:
`Sin(x)=-(1)/(√(2) )`

From basic trigonometry, we know the value of
`(1)/(√(2))` of sine is of the angle
`(\pi)/(4)`

But when is sine negative? Either in 3rd or 4th quadrant. But the answer has to be between 0 and
`(3\pi)/(2)`, so we disregard 4th quadrant.

To get the angle in 3rd quadrant, we add π to the acute angle of the first quadrant (which is π/4 in our case). Thus we have:

`(\pi)/(4)+\pi\\=(\pi +4\pi)/(4)\\=(5\pi)/(4)`

A is the right answer.