What is the value of ((4sqrt(14)))/(cos(60)) ?

The value of ((4sqrt(14)))/(cos(60)) is 8sqrt(14)

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((4sqrt(14)))/(cos(60))

\frac{( 4 14 )}{cos ( 6 0 ^{\circ} )}

814

Decimal Notation

29.93325 \dots

Solution steps

\frac{( 4 14 )}{cos ( 6 0 ^{\circ} )}

= \frac{4 14}{cos ( 6 0 ^{\circ} )}

Use the following trivial identity:

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

cos (6 0^{\circ})

cos (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{1}{2}

= \frac{4 14}{\frac{1}{2}}

Simplify

= 814

arcsin (\frac{1}{1.495})

sin (195 0^{\circ})

sin (31 4^{\circ})

sin (- 23 0^{\circ})

4 cos (4 π)

What is the value of ((4sqrt(14)))/(cos(60)) ?
The value of ((4sqrt(14)))/(cos(60)) is 8sqrt(14)