What is the value of 800*cos(30) ?

The value of 800*cos(30) is 400sqrt(3)

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800*cos(30)

800 \cdot cos (3 0^{\circ})

4003

Decimal Notation

692.82032 \dots

Solution steps

800 cos (3 0^{\circ})

Use the following trivial identity:

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

cos (3 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{3}{2}

= 800 \cdot \frac{3}{2}

Simplify

800 \cdot \frac{3}{2} : 4003

800 \cdot \frac{3}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 \cdot 800}{2}

Divide the numbers:

\frac{800}{2} = 400

= 4003

= 4003

3 sec^{2} (\frac{3 π}{4})

2 sin (\frac{2 π}{5}) cos (\frac{2 π}{5})

\frac{sin ( 84 0 ^{\circ} )}{cos ( 33 0 ^{\circ} ) + sin ( 31 5 ^{\circ} )}

cos (arctan (3) + arcsin (\frac{1}{3}))

tan (\frac{5 π}{6} - \frac{5 π}{4})