SOLUTION: Approximate, to the nearest 10l, the solutions of the equation that are in
[0c, 360c).
tantheta = 2.798
I don't knoq what to do. Please help!
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Trigonometry-basics
-> SOLUTION: Approximate, to the nearest 10l, the solutions of the equation that are in
[0c, 360c).
tantheta = 2.798
I don't knoq what to do. Please help!
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Question 1090324: Approximate, to the nearest 10l, the solutions of the equation that are in
[0c, 360c).
tantheta = 2.798
I don't knoq what to do. Please help! Answer by Theo(13342) (Show Source):
find the arc tangent of 2.798 and it will tell you that the angle whose tangent is 2.798 is equal to 70.3332048 degrees.
that would be the angle in the first quadrant of the unit circle.
the tangent is positive in the first quadrant and the third quadrant.
the angle in the third quadrant that is equivalent to 70.3332048 degrees in the first quadrant is equal to 180 + 70.3332048 which is equal to 250.3332048 degrees.
your two solutions are 70.3332048 degrees and 250.3332048 degrees.
if you drew a graph of the tangent function, it would look like this:
these angles are equivalent because the value of their tangent function is the same.
tangent of 70.3332048 degrees is equal to 2.798
tangent of 250.3332048 degrees is equal to 2.798
if you looked at the angle whose tangent is 2.798 on the unit circle, it would look like this in the first quadrant.
the tangent in the first quadrant is positive because the sine and the cosine are positive.
it would look like this in this in the third quadrant.
the reference angle is the same as the angle in the first quadrant.
it would look like this:
the tangent in the third quadrant is positive because the sine and the cosine are negative.
