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Popular >

6cos(135)

Solution

6 cos (13 5^{\circ})

Solution

- 32

+1

Decimal Notation

- 4.24264 \dots

Solution steps

6 cos (13 5^{\circ})

Use the following trivial identity:

cos (13 5^{\circ}) = - \frac{2}{2}

cos (13 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}

= 6 (- \frac{2}{2})

Simplify

6 (- \frac{2}{2}) : - 32

6 (- \frac{2}{2})

Remove parentheses:

(- a) = - a

= - 6 \cdot \frac{2}{2}

Multiply fractions:

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

= - \frac{2 \cdot 6}{2}

Divide the numbers:

\frac{6}{2} = 3

= - 32

= - 32

Popular Examples

5 arctan (1)

sin ((\frac{π}{4})^{2})

(tan(325)-tan(116))/(1+tan(325)tan(116))

\frac{tan ( 32 5 ^{\circ} ) - tan ( 11 6 ^{\circ} )}{1 + tan ( 32 5 ^{\circ} ) tan ( 11 6 ^{\circ} )}

arctan (\frac{8}{1})

sin((3pi)/4)cos((3pi)/4)

sin (\frac{3 π}{4}) cos (\frac{3 π}{4})

Frequently Asked Questions (FAQ)

What is the value of 6cos(135) ?
The value of 6cos(135) is -3sqrt(2)