What is the value of (sin(45))/(sin(60)) ?

The value of (sin(45))/(sin(60)) is sqrt(2/3)

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(sin(45))/(sin(60))

\frac{sin ( 4 5 ^{\circ} )}{sin ( 6 0 ^{\circ} )}

\frac{2}{3}

Solution steps

\frac{sin ( 4 5 ^{\circ} )}{sin ( 6 0 ^{\circ} )}

Use the following trivial identity:

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

Use the following trivial identity:

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

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

Simplify

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

= \frac{2}{3}

cos (\frac{5}{3})

sin (\frac{1 π}{4})

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

arccos (- 45)

sin (\frac{1 π}{3})

What is the value of (sin(45))/(sin(60)) ?
The value of (sin(45))/(sin(60)) is sqrt(2/3)