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Svetradugi [14.3K]
3 years ago
11

What is tan 330 degrees

Mathematics
1 answer:
NeX [460]3 years ago
3 0

330 degrees is a special angle on the unit circle.

It will be in the fourth quadrant and negative, since tangent is a negative value in the fourth quadrant.

330 degrees has a reference angle of 30 degrees, and what angle in the first quadrant has a reference angle of 30 degrees?

You probably got 30 degrees which is right.

What is the coordinates for 30 degrees?

(\frac{\sqrt{3}}{2},\frac{1}{2})

If that is what you got it is the correct answer.

The tangent value is \frac{y}{x}

So plug in.

\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}

\frac{1}{2}*\frac{2}{\sqrt{3}}

The 2s will cancel out.

\frac{1}{\sqrt{3}}

Rationalize by multiplying the top and bottom by \sqrt{3}

\frac{1*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

\frac{\sqrt{3}}{3}

However, tangent in the fourth quadrant is negative.

-\frac{\sqrt{3}}{3} is the exact value of tan(330).

Hope this helped,

chikafujiwara

よい一日を!

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