Question

Evaluate: tan45/tan30+tan60 explain step by step PLEASE. ESPECIALLY TO SOLVE 1/1/root3+root3. (ToT) (;_;)(TдT)

Answer 1

We know that tan 45 = 1 

                        tan 30 = $\frac{1}{ \sqrt{3} }$

                        tan 60 = $\sqrt{3}$



Given Equation is:

= $\frac{tan 45}{tan 30 + tan 60}$

$= \frac{1}{ \frac{1}{ \sqrt{3}} + \sqrt{3} }$

= $\frac{1}{ \frac{1 + \sqrt{3} * \sqrt{3} }{ \sqrt{3} } }$

= $\frac{1}{ \frac{1 + 3}{ \sqrt{3} } }$

= $\frac{1}{ \frac{4}{ \sqrt{3} } }$

= $\frac{ \sqrt{3} }{4}$


Hope this helps!