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

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

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

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

\frac{3}{3}

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

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

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

Simplify

\frac{\frac{1}{2}}{\frac{3}{2}} : \frac{3}{3}

= \frac{3}{3}

sin (40 0^{\circ})

arccos (\frac{9}{15})

\frac{tan ( 3 0 ^{\circ} ) + tan ( 1 5 ^{\circ} )}{1 - tan ( 3 0 ^{\circ} ) tan ( 1 5 ^{\circ} )}

cot (- \frac{3}{3})

6 cos (- \frac{2 π}{3})

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