Posted by **Anonymous** on Sunday, June 16, 2013 at 9:21am.

what is the inverse tangent of negative root3/3

- Precalc -
**Reiny**, Sunday, June 16, 2013 at 9:54am
let tan^-1 (-√3/3) = Ø

then tanØ = -√3/3

I know tan 30° or tan π/6 = +√3/3

Ø must be in quadrants II or IV

in degrees: Ø = 180-30=150° or Ø = 360-30 = 330°

in radians: Ø = π - π/6 = 5π/6 or Ø = 2π-π/6 = 11π/6

notice that your calculator gives you -30° or -π/6

which is correct since -30° is coterminal with 330°

calculators have been programmed to give the closest answer to zero, which in this case is -30°

the smallest positive answer is 5π/6

## Answer This Question

## Related Questions

- Solving Trig Equations - Solve for x in the interval [-pi,0] a) sin^2x = 3/4 I ...
- algebra - (1) if root x-a/x-b + a/b = root x-b/x-a + b/a, b not equal to a, then...
- Calculus - Use theta equals inverse tangent of 28/x minus inverse tangent of 6/x...
- maths - If root2=1.4 and root3=1.7 find value of 4/3 root3-2 root 2+3/3 root3+2 ...
- Calculus - I have a two part question that pertains to a curve (r(x)) and its ...
- PreCalc! - sketch a graph whose domain is the interval [0, infinity) but whose ...
- Precalc - Consider the function f(x)=2x^3 +1. Determine whether the inverse of F...
- Geometry - Given a triangle with side lengths: root3, root3, 3, find the measure...
- Math - find a quadratic equation having 3+root3 and 3-root3
- physics - two forces F1 and F2 acting at a point have a resultant F. If F2 is ...

More Related Questions