Find the value of $\tan 480 °$ .

Open in App

Solution

Calculate the value of $\tan 480 °$ .
$\begin{array}{rcl} \tan (480 °) & = & \tan (360 ° + 120 °) \\ = & \tan (120 °) [∵ \tan (360 ° + \emptyset) = \tan \emptyset] \\ = & \tan (90 ° + 30 °) \\ = & - \cot (30 °) [∵ \tan (90 ° + \emptyset) = - \cot \emptyset] \\ = & - \sqrt{3} \end{array}$
Hence, the value of $\tan 480 ° is - \sqrt{3}$ .

Suggest Corrections

Similar questions

Q. x is 5% of y, y is 24% of z. If x = 480, find the values of y and z.

Q. Find the value of

tan 480^{\circ}

Q. Find the value of
sin(-660°).cos(405°).cot(600°)/
sec(570°).cosec(330°).tan(480°). ?

$X$ is $5$ of $y$ , $y$ is $24$ of $z$ . If $x = 480$ , find the values of $y$ and $x$

Mohan holds 480 shares of a company and receives an annual dividend of Rs. 960. If the dividend he receives be 8% per annum, find the face value of share.

Join BYJU'S Learning Program

Find the value of tan480°.

Calculate the value of tan480°.tan480°=tan360°+120°=tan120°[∵tan(360°+∅)=tan∅]=tan90°+30°=-cot30°[∵tan(90°+∅)=-cot∅]=-3Hence, the value of tan480°is-3.

Find the value of $\tan 480 °$ .