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

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

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-cos(pi/4)-sin(pi/4)

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

- 2

Solution steps

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

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

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

Simplify

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

= - 2

15 \cdot cos (3 7^{\circ})

cos^{2} (16 0^{\circ})

cos (arctan (- 8))

tan (2 arccos (- \frac{5}{13}))

arctan (\frac{50}{36})

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