document.write( "Question 824976: If sin 0 = 4/5, what is the value of cos 0 in quadrant 1?\r
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Algebra.Com's Answer #496904 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! If sin(theta) = 4/5, what is the value of cos(theta) in quadrant 1? \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sin^2(theta) + cos^2(theta) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(4/5)^2 + cos^2(theta) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16/25 + cos^2(theta) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos^2(theta) = 1 - 16/25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos^2(theta) = 25/25 - 16/25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos^2(theta) = (25 - 16)25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos^2(theta) = 9/25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos(theta) = sqrt(9/25) ... we are in quadrant I, so cos(theta) > 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos(theta) = 3/5 \n" ); document.write( " |