3x=cosec theta and 3÷x=cot theta find value of (x-1÷x)
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given:
cosecA=3x
cotA=
to find:
value of
assumption:
take the value of theta as A for simplicity.
solution:
derive both the equations in the form of x
3x=cosecA
===> x=cosecA/3..................... (1)
3/x=cotA
===> 1/x=cotA/3..................... (2)
subtract 2 from 1,
x-1/x = cosecA/3 - cotA/3
===> 1/3 (cosecA-cotA)
===> 1/3 (1-cosA/sinA)
this will be the final answer.
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