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

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

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cos(x)+sin(x)=2

cos (x) + sin (x) = 2

No Solution for x \in R

Solution steps

cos (x) + sin (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

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

tan (x) = 3 cot (x)

2 cos (\frac{1}{2} x) - 1 = 0

2 cos (θ) sin (θ) - sin (θ) = 0

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

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