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Popular >

10sin(135)

Solution

10 sin (13 5^{\circ})

Solution

52

+1

Decimal Notation

7.07106 \dots

Solution steps

10 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}

= 10 \cdot \frac{2}{2}

Simplify

10 \cdot \frac{2}{2} : 52

10 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 10}{2}

Divide the numbers:

\frac{10}{2} = 5

= 52

= 52

Popular Examples

10^3ln(10)+sec(10)

1 0^{3} ln (10) + sec (1 0^{\circ})

sin(40)+sin(20)

sin (4 0^{\circ}) + sin (2 0^{\circ})

- \frac{1}{2} sin (9 0^{\circ})

(9.81*8.4)/(tan(60.26)*cos^2(60.26))

\frac{9.81 \cdot 8.4}{tan ( 60.2 6 ^{\circ} ) \cdot cos ^{2} ( 60.2 6 ^{\circ} )}

arctan(5/(-5sqrt(3)))

arctan (\frac{5}{- 5 3})

Frequently Asked Questions (FAQ)

What is the value of 10sin(135) ?
The value of 10sin(135) is 5sqrt(2)