Question

Select one or more expressions that together represent all solutions to the equation.

sin(x)=-0.7

Answer 1

A.
`x_(1) = -44.427^(\circ)\pm n\cdot 360^(\circ)`

B.
`x_(2) = -135.573^(\circ)\pm n\cdot 360^(\circ)`

Explanation:

The negative value of the sine function indicates that
`x` is located at third and fourth quadrants. Besides, this function has a period of 360º. There are two families of solutions:

`x_(1) = \sin^(-1) (-0.7)`

`x_(1) = -44.427^(\circ)\pm n\cdot 360^(\circ)`

`x_(2) = \sin^(-1) (-0.7)`

`x_(2) = -135.573^(\circ)\pm n\cdot 360^(\circ)`

Hence, right answers are A and B.