What is the value of cos(((3pi))/4) ?

The value of cos(((3pi))/4) is -(sqrt(2))/2

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Find the Exact Value cos((3pi)/4)

cos (\frac{( 3 π )}{4})

- \frac{2}{2}

Decimal Notation

- 0.70710 \dots

Solution steps

cos (\frac{( 3 π )}{4})

= cos (\frac{3 π}{4})

Use the following trivial identity:

cos (\frac{3 π}{4}) = - \frac{2}{2}

cos (\frac{3 π}{4})

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{2}{2}

= - \frac{2}{2}

sec (\frac{( 5 π )}{6})

a, tan (a) = \frac{1}{3}

tan (θ) = \frac{- 4}{5}

sec (\frac{( 5 π )}{3})

sin (x) = \frac{18.5}{20}

What is the value of cos(((3pi))/4) ?
The value of cos(((3pi))/4) is -(sqrt(2))/2