Question

HELP! Evaluate tan 45ddegrees /sin 30 degrees. In your final answer include all calculations

Answer 1

Hello!

The answer is: 2

Why?

Before solving the problem, we must remember the following:

$tan(\alpha)=\frac{sin(\alpha)}{cos(\alpha)}$

So, for tan(45°) we have:

$tan(45)=\frac{sin(45)}{cos(45)}\\ \\\frac{sin(45)}{cos(45)}=\frac{\frac{\sqrt{2} }{2} }{\frac{\sqrt{2} }{2} }=1$

Also, for sin(30°), we have:

$sin(30)=\frac{1}{2}$

Then, substituting and dividing, we have:

$\frac{tan(45)}{sin(30)}=\frac{1}{\frac{1}{2}}\\\\\frac{1}{\frac{1}{2}}=1*\frac{2}{1}=2$

So, the answer is 2.

Have a nice day!