possumlover2003 possumlover2003

11-06-2020
Mathematics

contestada

Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.

Respuesta :

surjithayer10 surjithayer10

16-06-2020

Answer:

Step-by-step explanation:

[tex]tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ[/tex]

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