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Popular >

cos((2pi)/4)

Solution

cos (\frac{2 π}{4})

Solution

0

Solution steps

cos (\frac{2 π}{4})

Simplify:

\frac{2 π}{4} = \frac{π}{2}

\frac{2 π}{4}

Cancel the common factor:

2

= \frac{π}{2}

= cos (\frac{π}{2})

Use the following trivial identity:

cos (\frac{π}{2}) = 0

cos (\frac{π}{2})

cos (x)

periodicity table with

2 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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= 0

= 0

Popular Examples

tan (- 13 5^{\circ})

4 cos (\frac{π}{6})

csc (- \frac{3 π}{4})

arctan (- 0.5)

arctan (\frac{2}{0})

Frequently Asked Questions (FAQ)

What is the value of cos((2pi)/4) ?
The value of cos((2pi)/4) is 0