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Popular Trigonometry >

26cos(45)

Solution

26 cos (4 5^{\circ})

Solution

132

+1

Decimal

18.38477 \dots

Solution steps

26 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}

= 26 \cdot \frac{2}{2}

Simplify

26 \cdot \frac{2}{2} : 132

26 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 26}{2}

Divide the numbers:

\frac{26}{2} = 13

= 132

= 132

Popular Examples

csc(arcsec(-2sqrt(5)))

(113)/(36.5*cos(30))

(sin(3015)tan(4290))/(cos(2730))

sinh(-arccosh(2))

Frequently Asked Questions (FAQ)

What is the value of 26cos(45) ?
The value of 26cos(45) is 13sqrt(2)