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

The value of sin((3pi)/4)+cos((3pi)/4) is 0

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sin((3pi)/4)+cos((3pi)/4)

sin (\frac{3 π}{4}) + cos (\frac{3 π}{4})

0

Solution steps

sin (\frac{3 π}{4}) + cos (\frac{3 π}{4})

Use the following trivial identity:

sin (\frac{3 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

= 0

6 sin (- \frac{2 π}{3})

450 sin (4 5^{\circ})

arccos (- \frac{1}{5})

2 \cdot cos (4 5^{\circ})

4 sin (187. 5^{\circ}) cos (52. 5^{\circ})

What is the value of sin((3pi)/4)+cos((3pi)/4) ?
The value of sin((3pi)/4)+cos((3pi)/4) is 0