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

The value of cos(pi/4)+sin(pi/4) is square root of 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

cos (\frac{23 π}{6})

cos (6 8^{\circ})

cos^{2} (4)

2 sin (4 5^{\circ})

cot (- 30 0^{\circ})

What is the value of cos(pi/4)+sin(pi/4) ?
The value of cos(pi/4)+sin(pi/4) is square root of 2