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

##### 1 Answer

May 13, 2017

#### 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"#