document.write( "Question 1103329: Determine the specific solutions (if any) to the equation on the interval [0, 2π)\r
\n" ); document.write( "\n" ); document.write( "-1 + tanθ = -sec^2 θ\r
\n" ); document.write( "\n" ); document.write( "(Simply your answer. Type an exact answer, using π as needed. Use a comma to separate answers as needed)
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Algebra.Com's Answer #718026 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "Since the equation involves tan(x) and sec^2(x), almost certainly the quickest way to the solutions is to use the identity \"sec%28x%29%5E2+=+tan%28x%29%5E2%2B1\". Then the equation is

\n" ); document.write( "\"-1%2Btan%28x%29+=+-%28tan%28x%29%5E2%2B1%29\"
\n" ); document.write( "\"tan%28x%29%5E2%2B1-1%2Btan%28x%29+=+0\"
\n" ); document.write( "\"tan%28x%29%5E2%2Btan%28x%29+=+0\"
\n" ); document.write( "\"tan%28x%29%28tan%28x%29%2B1%29+=+0\"
\n" ); document.write( "\"tan%28x%29+=+0\" or \"tan%28x%29+=+-1\"

\n" ); document.write( "tan(x) is 0 at 0 and pi; tan(x) is -1 at 3pi/4 and 7pi/4.

\n" ); document.write( "Answers: \"0\", \"3pi%2F4\", \"pi\", \"7pi%2F4\"
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