Question

find the value of tan 330 degree​

Answer 1

Step-by-step explanation:

On a trig unit circle,

tan 330= tan(-30+360)°

= tan (-30)°

= -tan 30

Trig table gives,

-tan 30 = -√3/3.

so tan 330 = -√3/3.

hope this helps you ♥️

Answer 2

$\bf \red{tan(330^{\circ})=-\frac{1}{\sqrt{3}}}$

or

$\bf \green{tan(330^{\circ})=-\frac{\sqrt{3}}{3}}$

Given:

• $tan(330^{\circ})$

To find:

• Value of trigonometric angle.

Solution:

Formula to be used:

• $tan(360^{\circ}-\theta)=-tan\:\theta$

Step 1:

Rewrite the value of angle.

$tan(330^{\circ})=tan(360^{\circ}-30^{\circ})$

or

$tan(360^{\circ}-30^{\circ})=-tan(30^{\circ})$

Step 2:

Put the value of tan30°.

As we know that $tan(30^{\circ})=\frac{1}{\sqrt{3}}$

So,

$tan(330^{\circ})=-\frac{1}{\sqrt{3}}$

Thus,

$\bf tan(330^{\circ})=-\frac{1}{\sqrt{3}}$

or

after rationalization of denominator it can be written as

$\bf tan(330^{\circ})=-\frac{\sqrt{3}}{3}$

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