Math, asked by athulsabarish, 9 months ago

3x=cosec theta and 3÷x=cot theta find value of (x-1÷x)​

Answers

Answered by jugaltgandhi
13

given:

cosecA=3x

cotA=\tt </p><p> \dfrac {3}{x}

to find:

value of \tt x-\dfrac {1}{x}

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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