Complete the general solution to y = arcsin -.
y=____±2k
IM lost please help
To find the general solution to the equation y = arcsin(-x), we need to isolate y on one side of the equation. Start by applying inverse sine to both sides:
sin(y) = -x
Next, we need to solve for y. To do that, we can take the inverse sine of both sides again:
y = arcsin(-x)
Now, we have the general solution in the form y = arcsin(-x). However, to make it a more comprehensive solution, we can express it with a ± symbol and include an integer multiple, k, to account for all possible values of y:
y = ±arcsin(-x) + 2k
where k is an integer representing any multiple of 2.
So, the complete general solution is y = ±arcsin(-x) + 2k, where k is an integer.