document.write( "Question 950272: Solve the equation for t on the interval [0,2π) 4 cos t - 4 sin t = 4 \n" ); document.write( "
Algebra.Com's Answer #854611 by ikleyn(53937) You can put this solution on YOUR website! . \n" ); document.write( "Solve the equation for t on the interval [0,2π) 4 cos t - 4 sin t = 4 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " @lwsshar3 in his post gives 3 (three) possible answers t = 0, π/2, and 3π/2, without checking.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " This answer is INCORRECT.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since both sides of the equation were squared on the way, the check is needed to test \n" ); document.write( "if the founded possible solutions really satisfy the original equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The test shows that t = π/2 does not satisfy the original equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the true solutions are t = 0, 3π/2, only. ANSWER\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |