Solve for x 2 \sin(x) - 1.5 = 0.23 ​

Question

Solve for x

`2 \sin(x) - 1.5 = 0.23`
​

Answer 1

Add 1.5 to both sides:

`2\sin(x) = 1.83`

Divide both sides by 2:

`\sin(x) = 0.915`

Consider the arcsin of both sides:

`\arcsin(\sin(x)) = \arcsin(0.915)`

Arcsin and sin simplify, because they are inverse of each other:

`x = \arcsin(0.915)`