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Popular >

20sin(135)

Solution

20 sin (13 5^{\circ})

Solution

102

+1

Decimal Notation

14.14213 \dots

Solution steps

20 sin (13 5^{\circ})

Use the following trivial identity:

sin (13 5^{\circ}) = \frac{2}{2}

sin (13 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}

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

Simplify

20 \cdot \frac{2}{2} : 102

20 \cdot \frac{2}{2}

Multiply fractions:

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

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

Divide the numbers:

\frac{20}{2} = 10

= 102

= 102

Popular Examples

(25*32)/(23)*(tan(58.9))/(sin(58.9))

\frac{25 \cdot 32}{23} \cdot \frac{tan ( 58. 9 ^{\circ} )}{sin ( 58. 9 ^{\circ} )}

11 cos (2 5^{\circ})

36 cos (3 0^{\circ})

cos(pi(8.3-5.4))+sin(pi(8.3-5.4))

cos (π (8.3 - 5.4)) + sin (π (8.3 - 5.4))

5 cos (\frac{5 π}{6})

Frequently Asked Questions (FAQ)

What is the value of 20sin(135) ?
The value of 20sin(135) is 10sqrt(2)