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

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

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cos(pi/4)-cos((3pi)/4)

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

2

Solution steps

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

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (\frac{3 π}{4}) = - \frac{2}{2}

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

Simplify

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

= 2

sec (15 π)

3 cos (5 3^{\circ})

1 - \frac{1}{3} sin^{2} (\frac{π}{3})

\frac{7 sin ( - 0.001 )}{- 0.001}

\frac{cos ( 6 0 ^{\circ} )}{2}

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