What is the value of (tan(45)+tan(30))/(1-tan(45)tan(30)) ?

The value of (tan(45)+tan(30))/(1-tan(45)tan(30)) is 2+sqrt(3)

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(tan(45)+tan(30))/(1-tan(45)tan(30))

\frac{tan ( 4 5 ^{\circ} ) + tan ( 3 0 ^{\circ} )}{1 - tan ( 4 5 ^{\circ} ) tan ( 3 0 ^{\circ} )}

2 + 3

Solution steps

\frac{tan ( 4 5 ^{\circ} ) + tan ( 3 0 ^{\circ} )}{1 - tan ( 4 5 ^{\circ} ) tan ( 3 0 ^{\circ} )}

Use the following trivial identity:

tan (4 5^{\circ}) = 1

Use the following trivial identity:

tan (3 0^{\circ}) = \frac{3}{3}

= \frac{1 + \frac{3}{3}}{1 - 1 \cdot \frac{3}{3}}

Simplify

\frac{1 + \frac{3}{3}}{1 - 1 \cdot \frac{3}{3}} : 2 + 3

= 2 + 3

3 sin (\frac{5 π}{4})

tan (0.01)

sin (\frac{27 π}{2})

arctan (\infty) - arctan (- \infty)

1 + cos (\frac{π}{4})

What is the value of (tan(45)+tan(30))/(1-tan(45)tan(30)) ?
The value of (tan(45)+tan(30))/(1-tan(45)tan(30)) is 2+sqrt(3)