Question

2. Find the value of :
5 cos? 60°+4 sec 30°-tan45°
sin? 30°+cos? 30°​

Answer 1

Step-by-step explanation:

$5( \frac{1}{2} ) + 4( \frac{2}{ \sqrt{3} } ) - 1 \times ( \frac{1}{2} ) + ( \frac{ \sqrt{3} }{2} ) \\ = \frac{5}{2} + \frac{8}{ \sqrt{3} } - \frac{1}{2} + \frac{ \sqrt{3} }{2} \\ = \frac{5 \sqrt{3 } + 16 }{2 \sqrt{3} } - \frac{1 + \sqrt{3} }{2} \\ = \frac{5 \sqrt{3} + 16 - \sqrt{3} - 3}{2 \sqrt{3} } \\ = \frac{4 \sqrt{3} + 13}{2 \sqrt{3} }$