What is the value of (15sin(60))/(sin(30)) ?

The value of (15sin(60))/(sin(30)) is 15sqrt(3)

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(15sin(60))/(sin(30))

\frac{15 sin ( 6 0 ^{\circ} )}{sin ( 3 0 ^{\circ} )}

153

Decimal Notation

25.98076 \dots

Solution steps

\frac{15 sin ( 6 0 ^{\circ} )}{sin ( 3 0 ^{\circ} )}

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

sin (6 0^{\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{3}{2}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\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{1}{2}

= \frac{15 \cdot \frac{3}{2}}{\frac{1}{2}}

Simplify

\frac{15 \cdot \frac{3}{2}}{\frac{1}{2}} : 153

\frac{15 \cdot \frac{3}{2}}{\frac{1}{2}}

Apply the fraction rule:

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

= \frac{15 \cdot \frac{3}{2} \cdot 2}{1}

Multiply the numbers:

15 \cdot 2 = 30

= \frac{30 \cdot \frac{3}{2}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 30 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 30}{2}

Divide the numbers:

\frac{30}{2} = 15

= 153

= 153

\frac{sec ( 11 π )}{6}

tanh (1.4)

\frac{sin ( 0.4 \cdot 4 \cdot π )}{π \cdot 4}

arctan (- 72705542)

csc^{2} (\frac{3 π}{2})

What is the value of (15sin(60))/(sin(30)) ?
The value of (15sin(60))/(sin(30)) is 15sqrt(3)