What is the value of sin^2((5pi)/(12)) ?

The value of sin^2((5pi)/(12)) is (2+sqrt(3))/4

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sin^2((5pi)/(12))

sin^{2} (\frac{5 π}{12})

\frac{2 + 3}{4}

Solution steps

sin^{2} (\frac{5 π}{12})

Rewrite using trig identities:

\frac{1 - cos ( \frac{5 π}{6} )}{2}

= \frac{1 - cos ( \frac{5 π}{6} )}{2}

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

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

Simplify

\frac{1 - ( - \frac{3}{2} )}{2} : \frac{2 + 3}{4}

= \frac{2 + 3}{4}

cos (\frac{π}{2})

\frac{784}{2 ( sin ( 1 0 ^{\circ} ) )}

cos (π (- 8.3 - 5.4)) + sin (π (8.3 - 5.4))

arcsin (\frac{1}{1.53})

lo g_{2} (sec (\frac{π}{4}))

What is the value of sin^2((5pi)/(12)) ?
The value of sin^2((5pi)/(12)) is (2+sqrt(3))/4