Question

WHAT IS THE VALUE OF TAN 19°30'​

Answer 1

Answer:

Value of tan(319π) is 3

Step-by-step explanation:

Solution:

\begin{gathered}\text{ Need to calculate value of } \tan (\frac{19 \pi}{3})\\\\\text{ First we need to simplify } \frac{19 \pi}{3}\end{gathered} Need to calculate value of tan(319π) First we need to simplify 319π

\frac{19 \pi}{3}=\frac{18 \pi}{3}+\frac{\pi}{3}=6 \pi+\frac{\pi}{3}=2 \times 3 \times \pi+\frac{\pi}{3}319π=318π+3π=6π+3π=2×3×π+3π

\text { As } \tan (2 \times \mathrm{n} \times \pi+x)=\tan (x) As tan(2×n×π+x)=tan(x)

\begin{gathered}\begin{aligned}&\Rightarrow \tan (\frac{19 \pi}{3})=\tan (2 \times 3 \times \pi+\frac{\pi}{3})=\tan \frac{\pi}{3}\\\\&\tan \frac{\pi}{3}=\tan 60=\sqrt{3}\end{aligned}\end{gathered}⇒tan(319π)=tan(2×3×π+3π)=tan3πtan3π=tan60=3

[ we know that value of tan 60 = \sqrt{3}3 ]

\text { Hence value of } \tan (\frac{19 \pi}{3}) \text { is } \sqrt{3} Hence value of tan(319π) is 3

Answer 2

Answer:

tan 19°30 =0.57735026919

Step-by-step explanation:

0.57735026919