Question

3) If cosec theta + cot theta = 1/3 Find cos theta and
determine the Quadrant in which theta lies?​

Answer 1

Answer:

Step-by-step explanation:

Sol: given cosec(teta)+cot (teta)=1/3-eq1

We know that cosec(teta)-cot(teta)=3-eq2

Add eq 1 and 2

Cosec(teta)+cot(teta)=1/3

Cosec(teta)-cot(teta)=3

=2cosec(teta)=10/3:cosec(teta)=5/3

Similarly subtract eq1and 2

We get 2cot (teta)=-8/3;cot (teta)=-4/3

This proves that teta belongs to 2nd qadrant because cosec(teta) is positive in it and cot (teta) os negative in it

We know cosec (teta) is 5/3 i.e. hyp/opp

So by pythogarus theorem

Cos(teta)=-4/5

Answer 2

Answer:

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