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Popular >

1/(2(1+cos(0)))

Solution

\frac{1}{2 ( 1 + cos ( 0 ) )}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

\frac{1}{2 ( 1 + cos ( 0 ) )}

Use the following trivial identity:

cos (0) = 1

cos (0)

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}

= 1

= \frac{1}{2 ( 1 + 1 )}

Simplify

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is the value of 1/(2(1+cos(0))) ?
The value of 1/(2(1+cos(0))) is 1/4