Q:

FAST!! Evaluate tan60/cos45√6√3/2√2/31√6

Accepted Solution

A:
Answer:[tex]\frac{\tan 60\degree}{\cos45 \degree}= \sqrt{6}[/tex]Step-by-step explanation:We want to evaluate [tex]\frac{\tan 60\degree}{\cos45 \degree}[/tex]We use special angles or the unit circle to obtain;[tex]\frac{\tan 60\degree}{\cos45 \degree}=\frac{\sqrt{3}}{\frac{\sqrt{2}}{2}}[/tex]This implies that;[tex]\frac{\tan 60\degree}{\cos45 \degree}=\sqrt{3}\div \frac{\sqrt{2}}{2}[/tex][tex]\frac{\tan 60\degree}{\cos45 \degree}=\sqrt{3}\times \sqrt{2}[/tex][tex]\frac{\tan 60\degree}{\cos45 \degree}= \sqrt{6}[/tex]