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

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

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

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

- 2

Solution steps

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

Use the following trivial identity:

sin (\frac{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

sin (7 5^{\circ}) 2

csc (\frac{13 π}{3})

4.9 \cdot 1 0^{6} \cdot 1.6 \cdot 1 0^{- 19} \cdot 0.19 \cdot sin (6 4^{\circ})

cot (2 8^{\circ})

arctan (- 0.2)

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