Question

for what real values of x is the equation 2cos theta= x+1/x possible?​

Answer 1

Answer:

Given equation is cosθ=x+

x

1

⇒x

2

−xcosθ+1=0

For real values of x,b

2

>4ac

∵a=1,b=−cosθ,c=1

∴cos

2

θ>4(1)(1)⇒∣cosθ∣>2

Which is not possible as ∣cosθ∣≤1

∴ No real value of θ is possible.

Step-by-step explanation:

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