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

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

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2sin(pi/4)+2cos(pi/4)

2 sin (\frac{π}{4}) + 2 cos (\frac{π}{4})

22

Solution steps

2 sin (\frac{π}{4}) + 2 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}

= 2 \cdot \frac{2}{2} + 2 \cdot \frac{2}{2}

Simplify

2 \cdot \frac{2}{2} + 2 \cdot \frac{2}{2} : 22

= 22

arctan (\frac{12}{6})

arctan (\frac{12}{8})

sec (\frac{53 π}{8})

arctan (\frac{4.6}{9.2})

\frac{62}{tan ( 2 0 ^{\circ} )}

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