arctan(sqrt(27)/3)

asked by guest
on Oct 23, 2024 at 9:16 am



You asked:

Evaluate the expression: \(\arctan\left( \frac{\sqrt{27}}{3} \right)\)

MathBot Answer:

\[\arctan\left( \frac{\sqrt{27}}{3} \right) = \frac{\pi}{3} \approx 1.04719755119659774615421446109317\]

\[\begin{aligned}\arctan\left( \frac{\sqrt{27}}{3} \right)& = \arctan{\left(\sqrt{27} \cdot \frac{1}{3} \right)}\\& = \arctan{\left(3 \cdot \sqrt{3} \cdot \frac{1}{3} \right)}\\& = \arctan{\left(\sqrt{3} \right)}\\& = \frac{\pi}{3}\end{aligned}\]

+ Submit Question