Question

find the value of cos45/sec30+cos30

Answer 1

Hiii friend,

Cos 45° = 1/✓2

Sec30° = 2/✓3

And,

Cos30° = ✓3/2

Therefore,

Cos45°/Sec30° + Cos30° =>

=> 1/✓2
________
2/✓3 + ✓3/2

_____________________



**** 1/✓2
=> _______

*****4 + 3/2✓3


____________________

*****1/✓2
=> ______

*****7/2✓3


__________________

=> 1/✓2 × 2✓3/7

=> 2✓3/7✓2

HOPE IT WILL HELP YOU

Answer 2

Solution:-

given by:-

$\frac{ \cos(45) }{ \sec(30) + \cos(30) } \\ \frac{1}{ \sqrt{2} } \times \frac{1}{ \frac{2}{ \sqrt{3} } + \frac{ \sqrt{3} }{2} } \\ \frac{1}{ \sqrt{2} } \times \frac{1}{ \frac{4 + 3}{2 \sqrt{3} } } \\ \frac{1}{ \sqrt{2} } \times \frac{2 \sqrt{3} }{5} \\ \frac{ \sqrt{6} }{5}$