If the angle tita is in the third quadrant and cot tita=3, then the value of sin is
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Given
Angle theta is in 3rd quadrant.
and cot theta = 3 .
Sin theta we have to find.
Solution
We know that
1+ cosec²theta = cot²theta .
Cosec theta = √8
cosec theta. = 2√2
we know that sin is reciprocal of cosec so,
sin theta = 1/2√2
as theta lies in 3rd quadrant where sin functions-ve ,So
Sin theta = -1/2√2
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