Question

Evaluate tan 60/cos 45
6
3/2
2/3
1/6

Answer 1

Answer:

Answer:

\frac{\tan 60\degree}{\cos45 \degree}= \sqrt{6}

Step-by-step explanation:

We want to evaluate

\frac{\tan 60\degree}{\cos45 \degree}

We use special angles or the unit circle to obtain;

\frac{\tan 60\degree}{\cos45 \degree}=\frac{\sqrt{3}}{\frac{\sqrt{2}}{2}}

This implies that;

\frac{\tan 60\degree}{\cos45 \degree}=\sqrt{3}\div \frac{\sqrt{2}}{2}

\frac{\tan 60\degree}{\cos45 \degree}=\sqrt{3}\times \sqrt{2}

\frac{\tan 60\degree}{\cos45 \degree}= \sqrt{6}

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