What is the value of 50*3*cos(30) ?

The value of 50*3*cos(30) is 75sqrt(3)

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503cos(30)

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

753

Decimal Notation

129.90381 \dots

Solution steps

50 \cdot 3 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}

= 50 \cdot 3 \cdot \frac{3}{2}

Simplify

50 \cdot 3 \cdot \frac{3}{2} : 753

50 \cdot 3 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 50 \cdot 3}{2}

Multiply the numbers:

50 \cdot 3 = 150

= \frac{150 3}{2}

Divide the numbers:

\frac{150}{2} = 75

= 753

= 753

(3 sin (3 6^{\circ}) + 4 cos (5 4^{\circ})) csc (3 6^{\circ})

4 0^{2} + 6 0^{2} - 2 (40) (60) cos (15 5^{\circ})

6 sec^{2} (2 (\frac{π}{2}))

100 (cos (\frac{1}{5}) - cos (\frac{1}{10}))

e^{s i n (i)}