Question

2 tan 30 degree/ 1+tan square 45 degree​

Answer 1

Answer: 1/√3

Hope it will help you.

Answer 2

Question :-

$\sf \frac{2 \tan30 {}^{0} }{1 + {tan}^{2} {45}^{0} } =$

Solution :-

we know,

$\sf tan {30}^{0} = \frac{1}{ \sqrt{3} }$

$\sf tan {45}^{0} = 1$

so,

$\longrightarrow \sf \frac{2 \times \frac{1}{ \sqrt{3} } }{1 + {(1)}^{2} }$

$\longrightarrow \sf \frac{ \frac{2}{ \sqrt{3} } }{2}$

$\longrightarrow \sf \frac{ \cancel2}{ \sqrt{3} } \times \frac{1}{ \cancel2}$

$\longrightarrow \sf \frac{1}{ \sqrt{3} }$