# What is the polar form of <mstyle displaystyle="true"> ( - 11

What is the polar form of $\left(-11,121\right)$ ?
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

iceniessyoy
Step 1
The radius can be calculated using the Pythagorean Theorem as
$\text{XXX}r=\sqrt{{\left(-11\right)}^{2}+{121}^{2}}\approx 121.4989712$
Step 2
$\mathrm{tan}\left(\pi \right)=\frac{121}{-11}=-11$
The standard $\text{arctan}$ function gives us the reference angle in either Quadrant I or Quadrant IV (in Q IV in this case since the value of the "tan" is negative).
$\mathrm{arctan}\left(-11\right)\approx -1.48013644$
$\theta =\pi +\mathrm{arctan}\left(-11\right)\approx 1.661456214$
###### Not exactly what you’re looking for?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee