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Popular >

pi/2 sin(pi/2)

Solution

\frac{π}{2} sin (\frac{π}{2})

Solution

\frac{π}{2}

+1

Decimal Notation

1.57079 \dots

Solution steps

\frac{π}{2} sin (\frac{π}{2})

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{π}{2} \cdot 1

Simplify

= \frac{π}{2}

Popular Examples

arccos (- \frac{1}{6})

arccos (\frac{4}{3})

1/2 arctan(1/2)

\frac{1}{2} arctan (\frac{1}{2})

\frac{1}{2} arctan (1)

sec (42 0^{\circ})

Frequently Asked Questions (FAQ)

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