What is the value of (sin(pi/6))/(cos^2(pi/6)) ?

The value of (sin(pi/6))/(cos^2(pi/6)) is 2/3

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(sin(pi/6))/(cos^2(pi/6))

\frac{sin ( \frac{π}{6} )}{cos ^{2} ( \frac{π}{6} )}

\frac{2}{3}

Solution steps

\frac{sin ( \frac{π}{6} )}{cos ^{2} ( \frac{π}{6} )}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

= \frac{\frac{1}{2}}{( \frac{3}{2} ) ^{2}}

Simplify

\frac{\frac{1}{2}}{( \frac{3}{2} ) ^{2}} : \frac{2}{3}

= \frac{2}{3}

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arcsin (0.291)

27 sin (3 0^{\circ})

What is the value of (sin(pi/6))/(cos^2(pi/6)) ?
The value of (sin(pi/6))/(cos^2(pi/6)) is 2/3