What is simplify-6sin(ωt-pi/4) ?

The solution to simplify-6sin(ωt-pi/4) is -3(sqrt(2)sin(ωt)-sqrt(2)cos(ωt))

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simplify-6sin(ωt-pi/4)

simplify

- 6 sin (ω t - \frac{π}{4})

- 3 (2 sin (ω t) - 2 cos (ω t))

Solution steps

- 6 sin (ω t - \frac{π}{4})

Rewrite using trig identities

= - 6 \cdot \frac{2 sin ( ω t ) - 2 cos ( ω t )}{2}

Simplify

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

= - 3 (2 sin (ω t) - 2 cos (ω t))

csc (- cos (\cdot cot (x)))

cos (arctan (7 x^{3}))

\frac{1}{csc ^{2} ( x ) - 1}

cos (x - \frac{11 π}{6})

cos (2 θ - \frac{π}{4})

What is simplify-6sin(ωt-pi/4) ?
The solution to simplify-6sin(ωt-pi/4) is -3(sqrt(2)sin(ωt)-sqrt(2)cos(ωt))