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11-02-2022
Mathematics

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If Θ is in quadrant III and tanΘ >0, then x is negative. True or false.

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11-02-2022

Answer:

True

Step-by-step explanation:

We know that [tex]tan\theta=\frac{sin\theta}{cos\theta}[/tex], [tex]sin\theta<0[/tex] in Quadrant III, and [tex]cos\theta<0[/tex] in Quadrant III. Thus, x is indeed negative since [tex]cos\theta<0[/tex].

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