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Popular Trigonometry >

14*sin(45)

Solution

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

Solution

72

+1

Decimal

9.89949 \dots

Solution steps

14 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}

= 14 \cdot \frac{2}{2}

Simplify

14 \cdot \frac{2}{2} : 72

14 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 14}{2}

Divide the numbers:

\frac{14}{2} = 7

= 72

= 72

Popular Examples

-arctan(20/200)

(sin(30)*cos(60)*csc(45))/(tan(30)*sec(60)*cot(45))

arctan((sqrt(15))/7)

Frequently Asked Questions (FAQ)

What is the value of 14*sin(45) ?
The value of 14*sin(45) is 7sqrt(2)