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

3 cos (B) - 1 = 5 cos (B) + 1

cos (θ) = \frac{3}{4}

cos (x) = \frac{- 3}{5}

x, sin (2 x) = - \frac{1}{2}

9 cos (2 θ) = 27 cos (θ) - 18

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}