What is the value of tan(pi/4)-tan(pi/6) ?

The value of tan(pi/4)-tan(pi/6) is 1-(sqrt(3))/3

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tan(pi/4)-tan(pi/6)

tan (\frac{π}{4}) - tan (\frac{π}{6})

1 - \frac{3}{3}

Decimal Notation

0.42264 \dots

Solution steps

tan (\frac{π}{4}) - tan (\frac{π}{6})

Use the following trivial identity:

tan (\frac{π}{4}) = 1

tan (\frac{π}{4})

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 1

Use the following trivial identity:

tan (\frac{π}{6}) = \frac{3}{3}

tan (\frac{π}{6})

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= \frac{3}{3}

= 1 - \frac{3}{3}

sec (25 0^{\circ})

cot^{2} (\frac{1}{2})

arccos (\frac{0.5}{1})

\frac{4}{1 - cos ( 2 )}

sec (- 78 0^{\circ})

What is the value of tan(pi/4)-tan(pi/6) ?
The value of tan(pi/4)-tan(pi/6) is 1-(sqrt(3))/3