What is the value of (3.1*10^{-4})/((8.96*10^{-2))cos(30)} ?

The value of (3.1*10^{-4})/((8.96*10^{-2))cos(30)} is (31sqrt(3))/(13440)

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(3.110^{-4})/((8.9610^{-2))cos(30)}

\frac{3.1 \cdot 1 0 ^{- 4}}{( 8.96 \cdot 1 0 ^{- 2} ) cos ( 3 0 ^{\circ} )}

\frac{31 3}{13440}

Solution steps

\frac{3.1 \cdot 1 0 ^{- 4}}{( 8.96 \cdot 1 0 ^{- 2} ) cos ( 3 0 ^{\circ} )}

= \frac{\frac{31}{10} \cdot 1 0 ^{- 4}}{\frac{224}{25} \cdot 1 0 ^{- 2} cos ( 3 0 ^{\circ} )}

Use the following trivial identity:

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

= \frac{\frac{31}{10} \cdot 1 0 ^{- 4}}{\frac{224}{25} \cdot 1 0 ^{- 2} \cdot \frac{3}{2}}

Simplify

\frac{\frac{31}{10} \cdot 1 0 ^{- 4}}{\frac{224}{25} \cdot 1 0 ^{- 2} \cdot \frac{3}{2}} : \frac{31 3}{13440}

= \frac{31 3}{13440}

arccos^{2} (\frac{2}{2})

π + cos (π)

- 2 tanh (0)

arccos (0.116)

10 (cos (\frac{π}{3}) + i sin (\frac{π}{3}))

What is the value of (3.1*10^{-4})/((8.96*10^{-2))cos(30)} ?
The value of (3.1*10^{-4})/((8.96*10^{-2))cos(30)} is (31sqrt(3))/(13440)