Question

Sec sin^-1(- 1/4)

Answer 1

Ignore the sec for now.

Use this, let the inverse sine equal to theta \[\Large \sin^{-1}(- 1/4) = \theta \] so now \[\Large \sin \theta = -1/4\]follow?

Answer 2

yeah

Answer 3

Okay now make a triangle using that...

Answer 4

yeah

Answer 5

Find x.

Answer 6

remember we had Sec sin^-1(- 1/4)

we let θ equal the sin^-1(- 1/4) part, so we have secθ now

Answer 7

Also keep in mind sin θ = -1/4... which means theta must be in the 3rd or 4th quadrant (where sine is negative)