Question

cos 45°/sec30°+cosec30°​

Answer 1

Step-by-step explanation:

$\frac{cos 45°}{sec30°}+cosec30°$

$\scriptsize{cos 45° \: = \frac{1}{ \sqrt{2} } \:sec30° = \frac{2}{ \sqrt{3} } cosec30° = 2}$

$\frac{ \frac{1}{ \sqrt{2} }}{\frac{2}{ \sqrt{3} }} + 2$

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

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

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

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

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

I think it is the answer