What is simplify-3cos(3x+pi/4) ?

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

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simplify-3cos(3x+pi/4)

simplify

- 3 cos (3 x + \frac{π}{4})

- \frac{3 2 ( cos ( 3 x ) - sin ( 3 x ) )}{2}

Solution steps

- 3 cos (3 x + \frac{π}{4})

Rewrite using trig identities

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

Simplify

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

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

- \frac{2}{πn} 2 cos (nπ)

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

(tan (\frac{π}{2} + θ) x + y)^{2}

tan (arccos (\frac{x}{14}))

sin (sin (x + 2 π))

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