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Popular >

36cos(45)

Solution

36 cos (4 5^{\circ})

Solution

182

+1

Decimal Notation

25.45584 \dots

Solution steps

36 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}

= 36 \cdot \frac{2}{2}

Simplify

36 \cdot \frac{2}{2} : 182

36 \cdot \frac{2}{2}

Multiply fractions:

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

= \frac{2 \cdot 36}{2}

Divide the numbers:

\frac{36}{2} = 18

= 182

= 182

Popular Examples

\frac{1}{cos ( 4 0 ^{\circ} )}

tan(arcsin(-1/2)+arccos(-(sqrt(3))/2))

tan (arcsin (- \frac{1}{2}) + arccos (- \frac{3}{2}))

(tan((5pi)/8)-tan((3pi)/8))/(1+tan((5pi)/8)tan((3pi)/8))

\frac{tan ( \frac{5 π}{8} ) - tan ( \frac{3 π}{8} )}{1 + tan ( \frac{5 π}{8} ) tan ( \frac{3 π}{8} )}

(cot^2(-pi/4))/(1+sqrt(2)sin(-pi/4))

\frac{cot ^{2} ( - \frac{π}{4} )}{1 + 2 sin ( - \frac{π}{4} )}

tan (\frac{15 π}{6})

Frequently Asked Questions (FAQ)

What is the value of 36cos(45) ?
The value of 36cos(45) is 18sqrt(2)