What is the general solution for solvefor x,f=sin(pi*\lfloor x\rfloor) ?

The general solution for solvefor x,f=sin(pi*\lfloor x\rfloor) is No Solution for x\in\mathbb{R}

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solvefor x,f=sin(pi*\lfloor x\rfloor)

solve for

x, f = sin (π \cdot ⌊ x ⌋)

No Solution for x \in R

Solution steps

f = sin (π ⌊ x ⌋)

Switch sides

sin (π ⌊ x ⌋) = f

Apply trig inverse properties

sin (π ⌊ x ⌋) = f

General solutions for

sin (π ⌊ x ⌋) = f

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π + arcsin (a) + 2 πn

π ⌊ x ⌋ = arcsin (f) + 2 πn, π ⌊ x ⌋ = π + arcsin (- f) + 2 πn

π ⌊ x ⌋ = arcsin (f) + 2 πn, π ⌊ x ⌋ = π + arcsin (- f) + 2 πn

No Solution for x \in R

(sin (x)) (tan (x) + 1) (cos (x) + 1) = 0

tan (3.87 x) = - 0.78

sin (2 x) = \frac{( 2 m - 4 )}{5}

34 sin (\frac{π}{6} (x - 43)) = 34

3 sin (3 x) = 2

What is the general solution for solvefor x,f=sin(pi*\lfloor x\rfloor) ?
The general solution for solvefor x,f=sin(pi*\lfloor x\rfloor) is No Solution for x\in\mathbb{R}