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

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

tan (0.5)

sin (\frac{23 π}{12})

- csc^{2} (6 0^{\circ})

cos (5 2^{\circ})

cos (\frac{- π}{4})

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