Question

How do you find the two quadrants that `theta` could terminate given `sintheta=-3/sqrt10`?

Answer 1

`"third and fourth"`

Explanation:

`"for " 180^@ < theta < 0^@" that is first/second quadrants"`

`"then " sintheta" has a "color(blue)"positive value"`

`"for " 360^@ < theta < 180^@" that is third/fourth quadrants"`

`sintheta" has a "color(blue)"negative value"`

`"since "sintheta=-3/sqrt10`

`"then "theta" will terminate in the third or fourth quadrant"`

`"the acronym " ASTC" indicates which ratio is "color(red)"positive"`
`"in the relevant quadrant"`

`A" indicates All trig ratios in first quadrant"`

`S" indicates Sine ratio in second quadrant"`

`T" indicates Tangent ratio in third quadrant"`

`C" indicates Cosine ratio in fourth quadrant"`