Question

The value of $2\sqrt{2}\cos {45}^{\circ }\cos {60}^{\circ }+2\sqrt{3}\sin {30}^{\circ }\tan {60}^{\circ }-\cos 0^{\circ }$ is

• A. $\frac{1}{3}$
• B. 3
• C. -3
• D. 0

Answer 1

The correct option is B 3

$2\sqrt{2}\cos 45°\cos 60°+2\sqrt{3}\sin 30°\tan 60°-\cos 0°$

$=2\sqrt{2}\times \frac{1}{\sqrt{2}}\times \frac{1}{2}+2\sqrt{3}\times \frac{1}{2}\times \sqrt{3}-1$

$=1+3-1$

$=3$

Hence, the answer is $3.$