If 3x = Cosecθ = and `3/X= Cottheta` Find the Value of 3`(X^2-1/X^2)`. - Mathematics

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If 3x = cosecθ = and `3/x= cottheta` find the value of 3`(x^2-1/x^2)`.

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Solution

3 `(x^2 -1/x^2)`

`=9/3(x^2 - 1/x^2)`

=`1/3 (9x^2-9/x^2)`

=`1/3 [(3x^2)-(3/x)^2]`

=`1/3 [(cosec theta )^2 - (cot theta)^2]`

=`1/3 ( cosec^2 theta - cot^2 theta)`

=`1/3 (1)=1/3`

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Chapter 6: T-Ratios of some particular angles - Exercises

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RS Aggarwal Secondary School Class 10 Maths
Chapter 6 T-Ratios of some particular angles
Exercises | Q 26

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