What is the value of 6sin(pi/4)+6cos(pi/4) ?

The value of 6sin(pi/4)+6cos(pi/4) is 6sqrt(2)

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6sin(pi/4)+6cos(pi/4)

6 sin (\frac{π}{4}) + 6 cos (\frac{π}{4})

62

Solution steps

6 sin (\frac{π}{4}) + 6 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}

= 6 \cdot \frac{2}{2} + 6 \cdot \frac{2}{2}

Simplify

6 \cdot \frac{2}{2} + 6 \cdot \frac{2}{2} : 62

= 62

- 4 sec^{2} (0)

2 - sin (0)

sec (arctan (\frac{5}{7}))

\frac{2 tan ( \frac{π}{8} )}{1 - tan ^{2} ( \frac{π}{8} )}

cos (13 2^{\circ})

What is the value of 6sin(pi/4)+6cos(pi/4) ?
The value of 6sin(pi/4)+6cos(pi/4) is 6sqrt(2)