What is the value of -cos(pi/4)-(-cos(0)) ?

The value of -cos(pi/4)-(-cos(0)) is -(sqrt(2))/2+1

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-cos(pi/4)-(-cos(0))

- cos (\frac{π}{4}) - (- cos (0))

- \frac{2}{2} + 1

Solution steps

- cos (\frac{π}{4}) - (- cos (0))

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (0) = 1

= - \frac{2}{2} - (- 1)

Simplify

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

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

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

\frac{15}{tan ( 3 0 ^{\circ} )}

sin (2) (50)

arcsin (sec (0))

What is the value of -cos(pi/4)-(-cos(0)) ?
The value of -cos(pi/4)-(-cos(0)) is -(sqrt(2))/2+1