Question

How do you solve `2sin(5x+4)=-sqrt(3)`?

Answer 1

Step by step.

Step 1:
Divide both sides by `2` to get `sin` without a nummber
`2sin(5x+4)=-root 2 3->sin(5x-4)=-1/2 root 2 3`

Step 2:
Take the `arcsin` of the expression at the right
(`arcsin` on your calculator will often look like `sin^-1`
and you use it with the Shift or 2nd button)

`(5x-4)=arcsin(-1/2 root 2 3)=?`

The question mark is because it is not clear whether you use degrees or radians. In both cases a number will come out.

Step 3:
Solve for `x`
`5x-4="number"->x=("number"+4)/5`