document.write( "Question 1026823: 1) Write sec t in term of tan t if the terminal point determined by t is in Quadrant II\r
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document.write( "2)find the exact values of the 6 trigonomatic functions of t givin cos t=-5/16, tan t less than0. Then find the exact value of 1+cot^2t \n" );
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Algebra.Com's Answer #642113 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1) Write sec t in term of tan t if the terminal point determined by t is in Quadrant II \n" ); document.write( "----- \n" ); document.write( "sec is negative and tan is negative in QII \n" ); document.write( "---------------- \n" ); document.write( "sec(t) = (1/cos) = (sin/sin)(1/cos) = (1/sin)(sin/cos = csc(t)(tan(t) \n" ); document.write( "---------------------- \n" ); document.write( " \n" ); document.write( "2)find the exact values of the 6 trigonomatic functions of t given cos t=-5/16, tan t less than 0. \n" ); document.write( "By definition cos(t) = x/r \n" ); document.write( "So x = -5 and r = 16 \n" ); document.write( "Then y = sqrt[16^2-5^2] = sqrt[231] \n" ); document.write( "---- \n" ); document.write( "tan(t) = y/x = -sqrt(231)/5 \n" ); document.write( "==================================\r \n" ); document.write( "\n" ); document.write( "Then find the exact value of 1+cot^2t \n" ); document.write( "cot(t) = -5/sqrt(231) \n" ); document.write( "1 + cot^2(t) = 1 + 25/231 = 256/231 \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------- \n" ); document.write( " \n" ); document.write( " |