contestada

if sin(theta) < 0 and tan(theta) > 0 then:
A. 0 degree < (theta) < 90 degrees
B. 90 degrees < (theta) < 180 degrees
C. 270 degrees < (theta) < 360 degrees
D. 180 degrees < (theta) < 270 degrees

Respuesta :

The correct answer is d
calculista

Answer:

Option D

[tex]180\°< \theta < 270\°[/tex]

Step-by-step explanation:

we know that

If [tex]sin(\theta) <0[/tex]

then ------> the angle could be in the III or IV quadrant

If [tex]tan(\theta) >0[/tex]

then -----> the angle could be in the I or III quadrant

so

The angle belong to the III quadrant

therefore

[tex]180\°< \theta < 270\°[/tex]

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