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crimeas [40]
3 years ago
10

In which quadrant does angle theta lie if csc theta <0 and cot theta<0?

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Answer:

\csc( \alpha )  < 0

=>

\frac{1}{ \sin( \alpha ) }  < 0

=>

\sin( \alpha )  < 0

we also have:

\cot( \alpha )  < 0

=  >  \frac{ \cos( \alpha ) }{ \sin( \alpha ) }  < 0

but sin < 0 (proven)

=  >   \cos( \alpha )  < 0

=> angle theta is in the 3rd quadrant

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