State the quadrant in which Q lies if sin Q\0and tan Q>o
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The image below indicates the Quadrants in which each of the 3 basic trig functions are positive (sometimes this is called the CAST diagram)
enter image source here
sin
(
θ
)
is negative in Q3 and Q4
tan
(
θ
)
is positive in Q1 and Q3
Therefore
θ
must be in Q3.
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