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For what values of x is the equation 2si...

For what values of x is the equation `2sintheta=x+(1)/(x)` valid?

A

`x=+-1`

B

All real values of x

C

`-1ltxlt1`

D

`xgt1andxlt-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Given : `2sintheta=x+(1)/(x)`
We know that `-1lesinthetalt1,-2le2sinthetalt2`
So , `-2lex+(1)/(x)lt2`
Thus , the given equation is valid only if `x=+-1`
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