Question

please tell this answer ​

Answer 1

Answer:

tan30°= 1/√3

so,

2tan30°= 2 x 1/√3

=2/√3

tan2 30° = ( 1/√3)2

= 1sq/√3sq

= 1/3

so,

1/√3

-------------

1 + 1/3

1. 1

-------- x ---------

1+√3. √3

1

-------------------------

√3(1+√3)

1

-------------------

√3 + (√3) sq

Answer:

1

--------------------

√3+3

Rationalize it,

1. √3-3

-------------------- x. --------------------

√3+3. √3-3

√3 - 3

-------------------------

(√3)sq - 3sq

√3-3

--------------------------

3 - 9

√3-3

-------------------

-6

-√3 +3

----------------------

6

Answer:

3-√3

------------------

6

Answer 2

$\: \: \: \: \: \: \: \: \sf\colorbox{red}{Solution࿐ }$

$⇒ \: \frac{2 \times \frac{1}{ \sqrt{3} } }{1 + (\frac{1}{ \sqrt{3} } ) {}^{2} } \\ ⇒ \frac{ \frac{2}{ \sqrt{3} } }{1 + \frac{1}{3} } \\ \\ ⇒ \frac{ \frac{2}{ \sqrt{3} } }{ \frac{3 + 1}{3} } \\ \\ ⇒ \frac{ \frac{2}{ \sqrt{3} } }{ \frac{4}{3} } \ \\ \\ ⇒ \frac{2}{ \sqrt{3} \: } \div \frac{4}{3} \\ = \frac{2}{ \sqrt{3} } \times \frac{3}{4} \\ ⇒\;\large{\boxed{\bf{\purple{ \frac{ \sqrt{3} }{2} \: is \: the \: ans....}}}}$

$\sf\blue{hope \: this \: helps \: you!! \: }$

@Mahor2111