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Answer:
C. increases rapidly.
Step-by-step explanation:
tan(θ) = sin(θ)/cos(θ)
Now, when sin 90 = 1
and cos 90 = 0
so, tan(90) = 1/0 = not defined.
<em>(1/0 is infinity and its value is not defined)</em>
So, when angle θ increases to 90°, then the value of tan(θ) increases rapidly, as shown in the figure below.
If and
, then you can replace
in either equation with the equivalent expression given by the other equation. In this case, you have
and you can solve for .
Then .
For the second system, you can write
Then substitute this into the second equation and you get
so that