What is the general solution for sin(x)+cos(x)=4 ?

The general solution for sin(x)+cos(x)=4 is No Solution for x\in\mathbb{R}

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sin(x)+cos(x)=4

sin (x) + cos (x) = 4

No Solution for x \in R

Solution steps

sin (x) + cos (x) = 4

Rewrite using trig identities

2 sin (x + \frac{π}{4}) = 4

Divide both sides by

2

sin (x + \frac{π}{4}) = 22

- 1 \leq sin (x) \leq 1

No Solution for x \in R

x, ln (y) = sin (x)

sin (θ) + cos (θ) = \frac{3}{2}

sin (x) + \frac{π}{2} = cos (x)

5 cos (x) - 3 = 9 cos (x) - 5

3 sin^{2} (x) - 8 sin (x) + 4 = 0

What is the general solution for sin(x)+cos(x)=4 ?
The general solution for sin(x)+cos(x)=4 is No Solution for x\in\mathbb{R}