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3.Trigonometrical Ratios, Functions and Identities
easy
મૂલ્ય શોધો. $\tan \frac{19 \pi}{3}$
A
$\sqrt{3}$
B
$\sqrt{3}$
C
$\sqrt{3}$
D
$\sqrt{3}$
Solution
It is known that the values of tan $x$ repeat after an interval of $n$ or $180^{\circ}.$
$\therefore \tan \frac{19 \pi}{3}=\tan 6 \frac{1}{3} \pi=\tan \left(6 \pi+\frac{\pi}{3}\right)=\tan \frac{\pi}{3}=\tan 60^{\circ}=\sqrt{3}$
Standard 11
Mathematics
