What is the general solution for sin(x)-cos(x)=-2 ?

The general solution for sin(x)-cos(x)=-2 is No Solution for x\in\mathbb{R}

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

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

No Solution for x \in R

Solution steps

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

Rewrite using trig identities

2 sin (x - \frac{π}{4}) = - 2

Divide both sides by

2

sin (x - \frac{π}{4}) = - 2

- 1 \leq sin (x) \leq 1

No Solution for x \in R

2 cos^{2} (x) - sin (x) + 1 = 0, 0 \leq x \leq 18 0^{\circ}

22 cos (x) - 4 sin (x) cos (x) = 0

- sin (x) - 2 sin (2 x) = 0

sin (\frac{π}{6} - x) = 1

t, F = 4 cos (- 2 t + 7) + C

What is the general solution for sin(x)-cos(x)=-2 ?
The general solution for sin(x)-cos(x)=-2 is No Solution for x\in\mathbb{R}