Question

When working in decimal radians, how do you find tan(sin^-1(-1/6))?

Answer 1

`tan(sin^(-1)(-1/6)) = +-sqrt(35)`

Explanation:

If `x=sin^(-1)(-1/6)`

then there are two possible solutions for `x` as indicated below:

The adjacent side length (based on Pythagorean Theorem) will be either `+sqrt(35)` or `-sqrt(35)`

And the definition of `tan = ("opposite")/("adjacent")` gives the value shown above.