Miscellaneous Exercise
Prove that:
1. 
Ans. L.H.S. = 
= 
= 
= 
=
= 0 = R.H.S.
2. 
Ans. L.H.S. = 
= 
= 
=
= 0 = R.H.S.
3. 
Ans. L.H.S. = 
= 
= 
= 
=
= R.H.S.
4. 
Ans. L.H.S. = 
= 
= 
= 
=
= R.H.S.
5. 
Ans. L.H.S. = 

= 
= 
= 
= 
= 
=
= R.H.S.
6. 
Ans. L.H.S. = 
= 
= 
= 
=
= R.H.S.
7. 
Ans. L.H.S. =
= 
= 
= 
= 
= 
= 
=
= R.H.S.
Find
and
in each of the following:
8.
in quadrant II.
Ans. Given:
in quadrant II.



= 
= 
[
lies in II quadrant]
Also


lies in first quadrant.

are positive.
Now, 


9.
in quadrant III.
Ans. Given:
in quadrant III.
Now, 



lies in second quadrant.

are positive and
are negative.
Now, 


10.
in quadrant II.
Ans. Given:
in quadrant II.



= 
= 
[
lies in II quadrant]
Also


lies in first quadrant.

are positive.
Now, 


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