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Popular >

tan(1/4 pi)

Solution

tan (\frac{1}{4} π)

Solution

1

Solution steps

tan (\frac{1}{4} π)

Simplify:

\frac{1}{4} π = \frac{π}{4}

\frac{1}{4} π

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 π}{4}

Multiply:

1 π = π

= \frac{π}{4}

= tan (\frac{π}{4})

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

= 1

Popular Examples

sin(pi/2)-cos(pi/2)

sin (\frac{π}{2}) - cos (\frac{π}{2})

tan(arcsin(3/4))

tan (arcsin (\frac{3}{4}))

arccos(3/(5.2))

arccos (\frac{3}{5.2})

sin (\frac{1}{6})

sec^{2} (5)

Frequently Asked Questions (FAQ)

What is the value of tan(1/4 pi) ?
The value of tan(1/4 pi) is 1