document.write( "Question 1173055: If θ= 2π/3, then\r
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document.write( "sin(θ) equals:\r
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document.write( "cos(θ) equals:\r
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document.write( "tan(θ) equals:\r
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document.write( "sec(θ) equals: \n" );
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Algebra.Com's Answer #798204 by Theo(13342) You can put this solution on YOUR website! 2pi/3 * 180 / pi = 120 degrees. \n" ); document.write( "reference angle for 120 degrees is 60 degrees. \n" ); document.write( "sin and cosec is positive in Q1 and Q2 \n" ); document.write( "cos and sec is positive in Q1 and Q4; negative in Q2 and Q3. \n" ); document.write( "tan and cot \n" ); document.write( "is positive in Q1 and Q3; negative in Q2 and Q4. \n" ); document.write( "sin(60) = sqrt(3)/2 = .8660254038 \n" ); document.write( "cosec(60) = 2sqrt(3)/3 = 1.154700538 \n" ); document.write( "cos(60) = 1/2 = .5 \n" ); document.write( "sec(60) = 2 = 2 \n" ); document.write( "tan(60) = sqrt(3) = 1.732050808 \n" ); document.write( "cot(60) = sqrt(3)/3 = .5773502692\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's for the reference angle of 60 degrees. \n" ); document.write( "for 120 degrees, the values are the same, except: \n" ); document.write( "sin and cosec are positive. \n" ); document.write( "cos and sec are negative. \n" ); document.write( "tan and cot are negative.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sin = sine \n" ); document.write( "cos = cosine \n" ); document.write( "cosec = cosecant \n" ); document.write( "sec = secant \n" ); document.write( "tan = tangent \n" ); document.write( "cot = cotangent\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the angle in the unit circle would look like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equivalent angle in radians is found by multiplying the angle in degrees by 180 / pi.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "60 degrees * pi / 180 = 1/3 * pi = pi/3 \n" ); document.write( "30 degrees * pi / 180 = 1/6 * pi = pi/6 \n" ); document.write( "120 degrees * pi / 180 = 2/3 * pi = 2pi/3\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( " |