SOLUTION: Solve the following equation in the interval [0, 2 π].
Note: Give the answer as a multiple of π. Do not use decimal numbers. The answer should be a fraction or an integer. Note
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-> SOLUTION: Solve the following equation in the interval [0, 2 π].
Note: Give the answer as a multiple of π. Do not use decimal numbers. The answer should be a fraction or an integer. Note
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Question 1164242: Solve the following equation in the interval [0, 2 π].
Note: Give the answer as a multiple of π. Do not use decimal numbers. The answer should be a fraction or an integer. Note that π is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is π/2 you should enter 1/2. If there is more than one answer enter them separated by commas.
|tan(t)|=(√3) Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! tan(t) = sqrt(3)
t = arctan(sqrt(3)) = 1.047197551 * 180 / pi = 60 degrees.
the angle in degrees is 60.
tan(60) = sqrt(3)
60 degrees * pi / 180 = 1/3 * pi
the angle in radians is 1/3 * pi.
that's in the first quadrant.
the tangent is positive in the first and third quadrants.
the equivalent angle in the third quadrant is 1/3 * pi + pi = 1/3 * pi + 3/3 * pi = 4/3 * pi
your angles are 1/3 * pi and 4/3 * pi
in degrees that would be 60 degrees and 4/3 * pi * 180 / pi = 240 degrees.
in radians, your angles are 1/3 * pi and 4/3 * pi
the tangent function can be graphed in both radians and in degrees using the desmos.com calculator as shown below.
sqrt(3) is equal to 1.732050808 which is equal to 1.732 rounded to 3 decimal places.
