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

The value of sqrt(2)sin(pi/2) is square root of 2

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sqrt(2)sin(pi/2)

2 sin (\frac{π}{2})

2

Decimal Notation

1.41421 \dots

Solution steps

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

= 2 \cdot 1

Simplify

= 2

tan (3.5)

cos (\frac{π}{2} \cdot 2)

\frac{12}{sin ( 2 3 ^{\circ} )}

2 sin (3 arccos (- \frac{1}{4}))

arcsin (1.15)

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