Question

I will mark you brainliest


find the value plz

Answer 1

this may be the answer

Answer 2

$Given : \frac{sin 30 + tan 45 - cosec 60}{sec 30 + cos 60 + cot 45}$

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

$= > \frac{\frac{\sqrt{3} + 2\sqrt{3} - 4}{2\sqrt{3}}}{\frac{4 + \sqrt{3} + 2\sqrt{3}}{2\sqrt{3}}}$

$= > \frac{\sqrt{3} + 2\sqrt{3} - 4}{4 + \sqrt{3} + 2\sqrt{3}}$

$= > \frac{3\sqrt{3} - 4}{3\sqrt{3} + 4}$

On rationalizing, we get

$= > \frac{3\sqrt{3} - 4}{3\sqrt{3} + 4} * \frac{3\sqrt{3} - 4}{3\sqrt{3} - 4}$

$= > \frac{(3\sqrt{3} - 4)^2}{(3\sqrt{3})^2 - (4)^2}$

$= > \frac{27 + 16 - 24\sqrt{3}}{11}$

$= > \boxed{\frac{43 - 24\sqrt{3}}{11} }$

Hope this helps!