If q cos theta = p find tan theta - cot theta in terms of p and q
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Answer:
It is given that qcosθ=p, then,
cosθ=
q
p
sinθ=
1−
q
2
p
2
=
q
q
2
−p
2
Using Pythagoras theorem,
tanθ=
p
q
2
−p
2
And,
cotθ=
q
2
−p
2
p
Then,
tanθ−cotθ=
p
q
2
−p
2
−
q
2
−p
2
p
=
p
q
2
−p
2
q
2
−p
2
−p
2
=
p
q
2
−p
2
q
2
−2p
2
Step-by-step explanation:
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