What is 3cos(pit+pi/4) ?

The solution to 3cos(pit+pi/4) is (3sqrt(2)(cos(pit)-sin(pit)))/2

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simplify 3cos(pit+pi/4)

simplify

3 cos (π t + \frac{π}{4})

\frac{3 2 ( cos ( π t ) - sin ( π t ) )}{2}

Solution steps

3 cos (π t + \frac{π}{4})

Rewrite using trig identities

= 3 \cdot \frac{2 cos ( π t ) - 2 sin ( π t )}{2}

Simplify

3 \cdot \frac{2 cos ( π t ) - 2 sin ( π t )}{2} : \frac{3 2 ( cos ( π t ) - sin ( π t ) )}{2}

= \frac{3 2 ( cos ( π t ) - sin ( π t ) )}{2}

ln (cos (- x))

cos (\frac{- 7 x}{6})

2 \cdot sin (\frac{π}{3} + x) + 6

\frac{sin ( 2 π x )}{sin ( x )}

tan (72 0^{\circ} + x)

What is 3cos(pit+pi/4) ?
The solution to 3cos(pit+pi/4) is (3sqrt(2)(cos(pit)-sin(pit)))/2