What is the value of (520)cos(45) ?

The value of (520)cos(45) is 260sqrt(2)

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(520)cos(45)

(520) cos (4 5^{\circ})

2602

Decimal Notation

367.69552 \dots

Solution steps

(520) cos (4 5^{\circ})

= 520 cos (4 5^{\circ})

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

cos (4 5^{\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{2}{2}

= 520 \cdot \frac{2}{2}

Simplify

520 \cdot \frac{2}{2} : 2602

520 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 520}{2}

Divide the numbers:

\frac{520}{2} = 260

= 2602

= 2602

cos (arccos (\frac{π}{4}))

cos (\frac{π \cdot ( 0 + 1 )}{8}) + 0.148 \cdot (0) - 0.9062

2 sec (2)

\frac{1200}{tan ( 2 1 ^{\circ} )}

30 sin (5 0^{\circ})