Question

3 sin 30° + 2 cot 30° - 5 cos 45º - cos 0°​

Answer 1

Answer:

$2 \sin(30) + 2 \cot(30) - 5 \cos(45) - \cos(0)$

$= 2 \times \frac{1}{2} + 2 \times \sqrt{3} - 5 \times \frac{1}{ \sqrt{3} } - 1$

$= 1 + 2 \sqrt{3} - \frac{5}{ \sqrt{3} } - 1$

$= 2 \sqrt{3} - \frac{5}{ \sqrt{3} }$

$= \frac{6 - 5}{ \sqrt{3} }$

$= \frac{1}{ \sqrt{3} }$