What is the value of -sqrt(2)cos(pi/3) ?

The value of -sqrt(2)cos(pi/3) is -(sqrt(2))/2

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-sqrt(2)cos(pi/3)

- 2 cos (\frac{π}{3})

- \frac{2}{2}

Decimal Notation

- 0.70710 \dots

Solution steps

- 2 cos (\frac{π}{3})

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

cos (\frac{π}{3})

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{1}{2}

= - 2 \frac{1}{2}

Simplify

- 2 \frac{1}{2} : - \frac{2}{2}

- 2 \frac{1}{2}

Multiply fractions:

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

= - \frac{1 \cdot 2}{2}

Multiply:

1 \cdot 2 = 2

= - \frac{2}{2}

= - \frac{2}{2}

10 sin (1 8^{\circ})

\frac{( 7.61 ) ^{2} \cdot sin ( 2 \cdot 30 )}{16.72}

\frac{tan ( ln ( e ) )}{e}

\frac{3.5}{tan ( 1 5 ^{\circ} )}

cosh (0.6)

What is the value of -sqrt(2)cos(pi/3) ?
The value of -sqrt(2)cos(pi/3) is -(sqrt(2))/2