Question

Evaluate
atan 60+ cos²30+ sin 60​

Answer 1

Answer:

$\frac{3(2\sqrt{3} + 1)}{4}$

Step-by-step explanation:

tan60 + $cos^{2}$30 + sin60

$\sqrt{3}$ + $(\frac{\sqrt{3}}{2})^{2}$ + $\frac{\sqrt{3}}{2}$

$\sqrt{3}$ + $\frac{3}{4}$ + $\frac{\sqrt{3}}{2}$

LCM = 4

$\frac{4\sqrt{3} + 3 + 2\sqrt{3}}{4}$

$\frac{6\sqrt{3} + 3}{4}$

$\frac{3(2\sqrt{3} + 1)}{4}$