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

The value of (cos(30))/(cos(60)) is square root of 3

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(cos(30))/(cos(60))

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

3

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

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

Simplify

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

= 3

sec (\frac{31 π}{6})

3 sin (27 0^{\circ})

arccos (- \frac{3}{7})

tan (\frac{5}{3} π)

12 cos (4 0^{\circ})

What is the value of (cos(30))/(cos(60)) ?
The value of (cos(30))/(cos(60)) is square root of 3