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

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

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

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

- 2

Solution steps

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

Use the following trivial identity:

cos (\frac{3 π}{4}) = - \frac{2}{2}

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

= - \frac{2}{2} - \frac{2}{2}

Simplify

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

= - 2

2 cos^{2} (3 0^{\circ})

arctan (2.18)

\frac{1}{2} arccos (\frac{1}{2})

sec (π - \frac{π}{3}) - csc (- 4 5^{\circ}) sin (\frac{5 π}{4})

\frac{sin ( 6 0 ^{\circ} )}{sin ( 4 0 ^{\circ} )}

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