document.write( "Question 1180759: Please I need help!! \r
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document.write( "Does this verify as an identity???? How would you solve this??\r
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document.write( "sec^4 x tan^2 x = (tan^2x + tan^4 x) sec^2 x \n" );
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Algebra.Com's Answer #810534 by Theo(13342)![]() ![]() You can put this solution on YOUR website! first determine if the identify is correct. \n" ); document.write( "i used a calculator with a randomly selected value for x. \n" ); document.write( "the calculator confirmed that the equation is true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's my worksheet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 1 puts the original equation in the worksheet.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 2 provides the results of dividing both sides of the equation by sec^2(x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 3 factors the right side of the eqution by tan^2(x) to make the right side equal to tan^2(x) * (1 + tan^2(x)).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 4 provide the result of dividing both sides of the eqution by tan^2(x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 5 provides the results of converting sec^2(x) to 1/cos^(x) and tan^2(x) to sin^2(x) / cos^2(x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 6 provides the results of multiplying both sides of the equation by cos^2(x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 7 provides the results of simplifying step 6 by performing the multiplication indicated.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 8 provides the results of simplifying step 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 9 completes the identity process because sin^2(x) + cos^2(x) = 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a reference on basic trig identities is shown below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can see that the equation in step 4 is one of those basic identities.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.purplemath.com/modules/idents.htm \n" ); document.write( " |