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Popular Trigonometry >

sin(45)16

Solution

sin (4 5^{\circ}) 16

Solution

82

+1

Decimal

11.31370 \dots

Solution steps

sin (4 5^{\circ}) \cdot 16

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{2}{2} \cdot 16

Simplify

\frac{2}{2} \cdot 16 : 82

\frac{2}{2} \cdot 16

Multiply fractions:

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

= \frac{2 \cdot 16}{2}

Divide the numbers:

\frac{16}{2} = 8

= 82

= 82

Popular Examples

tan(arcsin(-2/5))

arctan(2)+arctan(1/2)

cos(45)(sin(30)+tan(60))

2sin(30)+3cos(60)-3tan(45)

cos(arcsin(4/5)+arccos(3/5))

Frequently Asked Questions (FAQ)

What is the value of sin(45)16 ?
The value of sin(45)16 is 8sqrt(2)