What is the value of 5sin(pi/4)+5cos(pi/4) ?

The value of 5sin(pi/4)+5cos(pi/4) is 5sqrt(2)

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5sin(pi/4)+5cos(pi/4)

5 sin (\frac{π}{4}) + 5 cos (\frac{π}{4})

52

Solution steps

5 sin (\frac{π}{4}) + 5 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}

= 5 \cdot \frac{2}{2} + 5 \cdot \frac{2}{2}

Simplify

5 \cdot \frac{2}{2} + 5 \cdot \frac{2}{2} : 52

= 52

sin (17 π)

csc (arctan (\frac{1}{2}))

50 \cdot sin (3 7^{\circ})

sin (50.35 4^{\circ})

sec (\frac{- 4 π}{3})

What is the value of 5sin(pi/4)+5cos(pi/4) ?
The value of 5sin(pi/4)+5cos(pi/4) is 5sqrt(2)