Question

can someone tell me whatis my mistake here

Answer 1

Hey there ....

cos 45°=
$\frac{1}{ \sqrt{2} }$

Sec 30° =
$\frac{2}{ \sqrt{3} }$

cosec 30° =

$2$

so,

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

Root 3 / 4 root 2

Hope it helps you

$<marquee > prabhudutt$

Answer 2

Answer:

3 root 2 - root 6/8

Step-by-step explanation:

(1/root2) / (2/root3 + 2)

= (1/root2) / (2+ 2root3)/root 3

= 1/root2 ☓ root 3/ (2 + 2 root 3)

= (root3) / 2 root 2 + 2 root 6

Rationalize :

We get

(root3) (2root 2 - 2 root 6)/(2root2)^2-(2root6)^2

= (2root6 - 2 root 18)/8 - 24

= 2 root 6 - 2 ☓ 3 root 2/ - 16

= 2root6 - 6root2/-16

Dividing by 2 :

➡️ root6 - 3root2/ - 8

Or,

Multiply by - 1 in numerator and denominator :

We get :

3root2 - root 6/8

This is the ans.

For more clarity refer to pic.

Hope this helps you