KSizzle1998 KSizzle1998

26-02-2020
Mathematics

contestada

Find θ,

0° ≤ θ < 360°,

given the following information.

tan θ = [tex]\sqrt{3}[/tex] and θ in QIII

θ = _________°

Respuesta :

jimrgrant1 jimrgrant1

26-02-2020

Answer:

240°

Step-by-step explanation:

Given

tanΘ = [tex]\sqrt{3}[/tex], then

Θ = [tex]tan^{-1}[/tex] ( [tex]\sqrt{3}[/tex] ) = 60° ← angle in first quadrant

Thus the related angle in the third quadrant is

Θ = 180° + 60° = 240°

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