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Popular Trigonometry >

30*cos(45)

Solution

30 \cdot cos (4 5^{\circ})

Solution

152

+1

Decimal

21.21320 \dots

Solution steps

30 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}

= 30 \cdot \frac{2}{2}

Simplify

30 \cdot \frac{2}{2} : 152

30 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 30}{2}

Divide the numbers:

\frac{30}{2} = 15

= 152

= 152

Popular Examples

cos(arctan(-3/4))

cos(10)cos(20)-sin(10)sin(20)

arccos(-0.92761)

Frequently Asked Questions (FAQ)

What is the value of 30*cos(45) ?
The value of 30*cos(45) is 15sqrt(2)