What is the general solution for sin(x+pi/4)=\pm 1 ?

The general solution for sin(x+pi/4)=\pm 1 is No Solution for x\in\mathbb{R}

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sin(x+pi/4)=\pm 1

sin (x + \frac{π}{4}) = \pm 1

No Solution for x \in R

Solution steps

sin (x + \frac{π}{4}) = \pm 1

Apply trig inverse properties

x + \frac{π}{4} = arcsin (\pm 1) + 2 πn, x + \frac{π}{4} = π + arcsin (- \pm 1) + 2 πn

Solve

x + \frac{π}{4} = arcsin (\pm 1) + 2 πn : x = arcsin (\pm 1) + 2 πn - \frac{π}{4}

Solve

x + \frac{π}{4} = π + arcsin (- \pm 1) + 2 πn : x = π + arcsin (- \pm 1) + 2 πn - \frac{π}{4}

x = arcsin (\pm 1) + 2 πn - \frac{π}{4}, x = π + arcsin (- \pm 1) + 2 πn - \frac{π}{4}

Since the equation is undefined for:

arcsin (\pm 1) + 2 πn - \frac{π}{4}, π + arcsin (- \pm 1) + 2 πn - \frac{π}{4}

No Solution for x \in R

sin (2 x + 64) = \frac{3}{2}

sin (θ) = 0, 6

sin (x) = sin (\frac{π}{2})

\frac{sin ( x )}{1 - cos ^{2} ( x )} = sec (x)

cos (2 x) - 2 sin (x) = 1, 0^{\circ} < x \leq 36 0^{\circ}

What is the general solution for sin(x+pi/4)=\pm 1 ?
The general solution for sin(x+pi/4)=\pm 1 is No Solution for x\in\mathbb{R}