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Popular >

80*cos(30)

Solution

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

Solution

403

+1

Decimal Notation

69.28203 \dots

Solution steps

80 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}

= 80 \cdot \frac{3}{2}

Simplify

80 \cdot \frac{3}{2} : 403

80 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 80}{2}

Divide the numbers:

\frac{80}{2} = 40

= 403

= 403

Popular Examples

cos((4pi)/3-(3pi)/4)

cos (\frac{4 π}{3} - \frac{3 π}{4})

cos^{2} (\frac{7 π}{8})

3 + 2 sin (- \frac{π}{6})

(60sin(15))/(400)

\frac{60 sin ( 1 5 ^{\circ} )}{400}

- tan^{2} (0)

Frequently Asked Questions (FAQ)

What is the value of 80*cos(30) ?
The value of 80*cos(30) is 40sqrt(3)