What is the value of sqrt(3)sin(pi/2) ?

The value of sqrt(3)sin(pi/2) is square root of 3

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sqrt(3)sin(pi/2)

3 sin (\frac{π}{2})

3

Decimal Notation

1.73205 \dots

Solution steps

3 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

= 3 \cdot 1

Simplify

= 3

4 cos (12 5^{\circ})

sin (2) cos (1.1) - cos (2) sin (1.1)

\frac{\frac{π}{2}}{sin ( \frac{π}{2} )}

\frac{6}{2 tan ( \frac{180}{6} )}

\frac{4.9 sin ( 3 5 ^{\circ} )}{sin ( 8 0 ^{\circ} )}

What is the value of sqrt(3)sin(pi/2) ?
The value of sqrt(3)sin(pi/2) is square root of 3