What is the value of 4(sin^2((\frac{5pi^2)/(12)}{42sqrt(2)})) ?

The value of 4(sin^2((\frac{5pi^2)/(12)}{42sqrt(2)})) is 0.01914…

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4(sin^2((\frac{5pi^2)/(12)}{42sqrt(2)}))

4 (sin^{2} (\frac{\frac{5 π ^{2}}{12}}{42 2}))

0.01914 \dots

Solution steps

4 (sin^{2} (\frac{\frac{5 π ^{2}}{12}}{42 2}))

Refine to a decimal form

= 0.01914 \dots

\frac{490 sin ( 13 5 ^{\circ} )}{sin ( 10 5 ^{\circ} )}

\frac{1}{3} (- 8 cos (\frac{π}{3}) - \frac{tan ^{2} ( \frac{π}{3} )}{2})

84.85 cos (4 5^{\circ})

π + arctan (- \frac{4}{7})

arccos (\frac{1}{13})

What is the value of 4(sin^2((\frac{5pi^2)/(12)}{42sqrt(2)})) ?
The value of 4(sin^2((\frac{5pi^2)/(12)}{42sqrt(2)})) is 0.01914…