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

What is the polar form of $\left(11,-99\right)$ ?
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

karburitc
Step 1
Cartesian form: $\left(x,y\right)$
Polar form: $\left(r,\theta \right)$
$r=\sqrt{{x}^{2}+{y}^{2}}$
$r=\sqrt{{11}^{2}+{99}^{2}}=11\sqrt{82}\approx 99.61$
$\theta ={\mathrm{tan}}^{-1}\left(\frac{y}{x}\right)$
$\theta ={\mathrm{tan}}^{-1}\left(-\frac{99}{11}\right)$
$\theta ={\mathrm{tan}}^{-1}\left(-9\right)\approx -1.46$
Exact