document.write( "Question 175834: 10. find all solutions of secx^2+tanx^2=3 \n" ); document.write( "

Algebra.Com's Answer #130939 by EMStelley(208) $\"\"$ $\"About$

You can put this solution on YOUR website!
You need to use the trig identity
\n" ); document.write( " $\"%28sec%28x%29%29%5E2+=+1%2B%28tan%28x%29%29%5E2\"$
\n" ); document.write( "So then
\n" ); document.write( " $\"%28sec%28x%29%29%5E2%2B%28tan%28x%29%29%5E2=3\"$ can be rewritten as
\n" ); document.write( " $\"1%2B%28tan%28x%29%29%5E2%2B%28tan%28x%29%29%5E2=3\"$
\n" ); document.write( " $\"1%2B2%28tan%28x%29%29%5E2=3\"$
\n" ); document.write( " $\"%28tan%28x%29%29%5E2=1\"$
\n" ); document.write( " $\"tan%28x%29=1\"$ and $\"tan%28x%29=-1\"$
\n" ); document.write( "All that's left is to use a trig table to determine the angles at which the tangent is 1 or -1. \n" ); document.write( "

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