What is 6sin(-5x+pi/4) ?

The solution to 6sin(-5x+pi/4) is 3(sqrt(2)cos(5x)-sqrt(2)sin(5x))

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simplify 6sin(-5x+pi/4)

simplify

6 sin (- 5 x + \frac{π}{4})

3 (2 cos (5 x) - 2 sin (5 x))

Solution steps

6 sin (- 5 x + \frac{π}{4})

Rewrite using trig identities

= 6 \cdot \frac{2 cos ( 5 x ) - 2 sin ( 5 x )}{2}

Simplify

6 \cdot \frac{2 cos ( 5 x ) - 2 sin ( 5 x )}{2} : 3 (2 cos (5 x) - 2 sin (5 x))

= 3 (2 cos (5 x) - 2 sin (5 x))

(L^{2}) (- \frac{cos ( nπ )}{nπ L})

cos (p ii)

- x sin (- x)

cos (π + x) + cos (x)

- tan (x) - cot (27 0^{\circ} - x)

What is 6sin(-5x+pi/4) ?
The solution to 6sin(-5x+pi/4) is 3(sqrt(2)cos(5x)-sqrt(2)sin(5x))