SOLUTION: Need your help please!
In the interval 0° ≤ θ ≤ 360°, how many values of θ satisfy the equation {{{Tan^2theta-3Tan(theta) + 2}}}{{{""=""}}}{{{0}}}
?
a)
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-> SOLUTION: Need your help please!
In the interval 0° ≤ θ ≤ 360°, how many values of θ satisfy the equation {{{Tan^2theta-3Tan(theta) + 2}}}{{{""=""}}}{{{0}}}
?
a)
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In the interval 0° ≤ θ ≤ 360°, how many values of θ satisfy the equation
a)1
b)2
c)3
d)4
Factor the left side:
Use the zero-factor principle:
Since the tangent is positive in the first and third quadrants,
there are two angles between 0° and 360° that have 2 as their
tangent. These are 63.43° and 243.43° approximately
Continuing with the zero-factor principle:
Again, since the tangent is positive in the first and third quadrants,
there are two angles between 0° and 360° that have 1 as their
tangent. These are 45° and 225° exactly.
So the answer is d)4
Edwin
