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Popular >

(sin^4(pi/2))/4

Solution

\frac{sin ^{4} ( \frac{π}{2} )}{4}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

\frac{sin ^{4} ( \frac{π}{2} )}{4}

Use the following trivial identity:

sin (\frac{π}{2}) = 1

sin (\frac{π}{2})

sin (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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= \frac{1 ^{4}}{4}

Simplify

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is the value of (sin^4(pi/2))/4 ?
The value of (sin^4(pi/2))/4 is 1/4