mohamadrameez
mohamadrameez mohamadrameez
  • 01-06-2020
  • Mathematics
contestada

sec²θ=4+2tan²θ
Find θ​

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LammettHash
LammettHash LammettHash
  • 01-06-2020

Recall the Pythagorean identity,

[tex]\sec^2\theta=1+\tan^2\theta[/tex]

So we have

[tex]\sec^2\theta=4+2\tan^2\theta[/tex]

[tex]1+\tan^2\theta=4+2\tan^2\theta[/tex]

[tex]-3=\tan^2\theta[/tex]

But squaring any real number always gives a non-negative number, so there are no real solutions to this equation.

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