What is the value of 353.55*sin(45) ?

The value of 353.55*sin(45) is (7071sqrt(2))/(40)

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353.55*sin(45)

353.55 \cdot sin (4 5^{\circ})

\frac{7071 2}{40}

Decimal

249.99760 \dots

Solution steps

353.55 sin (4 5^{\circ})

= \frac{7071}{20} sin (4 5^{\circ})

Use the following trivial identity:

sin (4 5^{\circ}) = \frac{2}{2}

sin (4 5^{\circ})

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{2}{2}

= \frac{7071}{20} \cdot \frac{2}{2}

Simplify

\frac{7071}{20} \cdot \frac{2}{2} : \frac{7071 2}{40}

\frac{7071}{20} \cdot \frac{2}{2}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{7071 2}{20 \cdot 2}

Multiply the numbers:

20 \cdot 2 = 40

= \frac{7071 2}{40}

= \frac{7071 2}{40}

What is the value of 353.55*sin(45) ?
The value of 353.55*sin(45) is (7071sqrt(2))/(40)