document.write( "Question 736047: How do I find tan(sin^-1 1/3) by using the unit circle? I know you have to find the sin of 1/3 by looking in quadrant 1 or 4. and X is the cos and Y is the sin but I can't find 1/3 on my unit circle... I also know that Tan is sin over cos but do you divide the sin and the cos to get tan? I have no idea what I'm doing. Please explain it to me? Thank you \n" ); document.write( "
Algebra.Com's Answer #449644 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! How do I find tan(sin^-1 1/3) by using the unit circle? \n" ); document.write( "---- \n" ); document.write( "You have a certain angle. \n" ); document.write( "Its sin = y/r = 1/3. \n" ); document.write( "So y = 1 and r = 3 \n" ); document.write( "----- \n" ); document.write( "The tan is y/x so you have to find \"x\": \n" ); document.write( "x = sqrt[r^2-y^2] = sqrt[9-1] = 2sqrt(2) \n" ); document.write( "----- \n" ); document.write( "Therefore tan(your angle) = y/x = 1/sqrt(8) = (1/8)sqrt(8) \n" ); document.write( "----- \n" ); document.write( "Note: You don't have to know the angle. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |