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Popular Trigonometry >

cos(30)50

Solution

cos (3 0^{\circ}) 50

Solution

253

+1

Decimal

43.30127 \dots

Solution steps

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

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}

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

Simplify

\frac{3}{2} \cdot 50 : 253

\frac{3}{2} \cdot 50

Multiply fractions:

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

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

Divide the numbers:

\frac{50}{2} = 25

= 253

= 253

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sin(2arctan(1/2)-arctan(4/3))

sin(120)cos(45)+cos(120)sin(45)

Frequently Asked Questions (FAQ)

What is the value of cos(30)50 ?
The value of cos(30)50 is 25sqrt(3)