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Popular >

42cos(30)

Solution

42 cos (3 0^{\circ})

Solution

213

+1

Decimal Notation

36.37306 \dots

Solution steps

42 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}

= 42 \cdot \frac{3}{2}

Simplify

42 \cdot \frac{3}{2} : 213

42 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 42}{2}

Divide the numbers:

\frac{42}{2} = 21

= 213

= 213

Popular Examples

- 10 cos (3 0^{\circ})

arcsin(3/(3sqrt(2)))

arcsin (\frac{3}{3 2})

pi(5)(170)(sin(2.8))

π (5) (170) (sin (2.8))

cos ((0)^{2})

esin(0)+cos(0)e^0

e sin (0) + cos (0) e^{0}

Frequently Asked Questions (FAQ)

What is the value of 42cos(30) ?
The value of 42cos(30) is 21sqrt(3)