document.write( "Question 1164242: Solve the following equation in the interval [0, 2 π].
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document.write( "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.\r
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document.write( "|tan(t)|=(√3) \n" );
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Algebra.Com's Answer #788533 by Theo(13342)![]() ![]() You can put this solution on YOUR website! tan(t) = sqrt(3) \n" ); document.write( "t = arctan(sqrt(3)) = 1.047197551 * 180 / pi = 60 degrees. \n" ); document.write( "the angle in degrees is 60. \n" ); document.write( "tan(60) = sqrt(3) \n" ); document.write( "60 degrees * pi / 180 = 1/3 * pi \n" ); document.write( "the angle in radians is 1/3 * pi. \n" ); document.write( "that's in the first quadrant. \n" ); document.write( "the tangent is positive in the first and third quadrants. \n" ); document.write( "the equivalent angle in the third quadrant is 1/3 * pi + pi = 1/3 * pi + 3/3 * pi = 4/3 * pi \n" ); document.write( "your angles are 1/3 * pi and 4/3 * pi \n" ); document.write( "in degrees that would be 60 degrees and 4/3 * pi * 180 / pi = 240 degrees. \n" ); document.write( "in radians, your angles are 1/3 * pi and 4/3 * pi \n" ); document.write( "the tangent function can be graphed in both radians and in degrees using the desmos.com calculator as shown below. \n" ); document.write( "sqrt(3) is equal to 1.732050808 which is equal to 1.732 rounded to 3 decimal places.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "first in degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "next in radians.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |