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

The value of 6sin(pi/4)-cos(pi/4) is 3sqrt(2)-(sqrt(2))/2

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

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

32 - \frac{2}{2}

Solution steps

6 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}

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

Simplify

6 \cdot \frac{2}{2} - \frac{2}{2} : 32 - \frac{2}{2}

= 32 - \frac{2}{2}

arccos (\frac{6}{145})

arccos (- \frac{2}{2}) + arctan (\frac{3}{3})

6 sin (2 (\frac{π}{2}))

sin (90. 1^{\circ})

What is the value of 6sin(pi/4)-cos(pi/4) ?
The value of 6sin(pi/4)-cos(pi/4) is 3sqrt(2)-(sqrt(2))/2