Given the equation sin0=-1/5, where 180 degrees < 0 < 270 degrees: write the inverse statement that would allow you to solve for 0. Solve for 0.

Answer 1

If sin θ = -1/5, then use the inverse sine function (aka the arcsine), sin^-1, to find θ:

sin^-1(sin θ) = sin^-1(-1/5)

Now sin^-1(sin θ) = θ, so we have:

θ = sin^-1(-1/5)

You can use your calculator to find the value, but the problem only asks for the inverse statement not the value.