What is the general solution for 0=arcsin(x) ?

The general solution for 0=arcsin(x) is x=0

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0=arcsin(x)

0 = arcsin (x)

x = 0

Solution steps

0 = arcsin (x)

Switch sides

arcsin (x) = 0

Apply trig inverse properties

arcsin (x) = 0

arcsin (x) = a \Rightarrow x = sin (a)

x = sin (0)

sin (0) = 0

sin (0)

Use the following trivial identity:

sin (0) = 0

sin (0)

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 0

= 0

x = 0

x = 0

cos (x) = 0.5149, 0 \leq x < 2 π

sin (θ) - 0.2 cos (θ) = 0.704

3 sin (x) = sin (x) - 1

1 - tan (- x) = sec (- x)

cos (2 x - a) = sin (3 x)

What is the general solution for 0=arcsin(x) ?
The general solution for 0=arcsin(x) is x=0