What is the value of sin(45) 1/(sqrt(2)) ?

The value of sin(45) 1/(sqrt(2)) is 1/2

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sin(45) 1/(sqrt(2))

sin (4 5^{\circ}) \frac{1}{2}

\frac{1}{2}

Decimal Notation

0.5

Solution steps

sin (4 5^{\circ}) \frac{1}{2}

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 \frac{1}{2}

Simplify

\frac{2}{2} \cdot \frac{1}{2} : \frac{1}{2}

\frac{2}{2} \cdot \frac{1}{2}

Cross-cancel:

2

= \frac{1}{2}

= \frac{1}{2}

cos (\frac{24 π}{7})

csc (6 2^{\circ})

tan (21.5 7^{\circ})

30 cos (5 5^{\circ})

arccos (\frac{7}{5 29})

What is the value of sin(45) 1/(sqrt(2)) ?
The value of sin(45) 1/(sqrt(2)) is 1/2