What is simplify-2sin(x-pi/4)+1 ?

The solution to simplify-2sin(x-pi/4)+1 is -sqrt(2)sin(x)+sqrt(2)cos(x)+1

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simplify-2sin(x-pi/4)+1

simplify

- 2 sin (x - \frac{π}{4}) + 1

- 2 sin (x) + 2 cos (x) + 1

Solution steps

- 2 sin (x - \frac{π}{4}) + 1

Rewrite using trig identities

= - 2 \cdot \frac{2 sin ( x ) - 2 cos ( x )}{2} + 1

Simplify

- 2 \cdot \frac{2 sin ( x ) - 2 cos ( x )}{2} + 1 : - 2 sin (x) + 2 cos (x) + 1

= - 2 sin (x) + 2 cos (x) + 1

cos (θ^{1} + θ^{2})

4 sin (4 5^{\circ} + x) + 3

sin (arccos (sin (x)))

- sin (2 x + \frac{π}{4})

sin (x - \frac{π}{4}) - 1

What is simplify-2sin(x-pi/4)+1 ?
The solution to simplify-2sin(x-pi/4)+1 is -sqrt(2)sin(x)+sqrt(2)cos(x)+1