document.write( "Question 756209: Find the exact value of tan theta if sec theta= 7/4 \n" ); document.write( "

Algebra.Com's Answer #460201 by lwsshak3(11628) $\"\"$ $\"About$

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Find the exact value of tan theta if sec theta= 7/4
\n" ); document.write( " $\"tan%5E2%28x%29=sec%5E2%28x%29-1\"$
\n" ); document.write( " $\"tan%5E2%28x%29=%287%2F4%29%5E2-1\"$
\n" ); document.write( " $\"tan%5E2%28x%29=49%2F16-1\"$
\n" ); document.write( " $\"tan%5E2%28x%29=33%2F16\"$
\n" ); document.write( "take sqrt of both sides
\n" ); document.write( "tan(x)=±√33/4
\n" ); document.write( "..
\n" ); document.write( "calculator check:
\n" ); document.write( "sec(x)=1/cos(x)=7/4
\n" ); document.write( "cos(x)=4/7
\n" ); document.write( "x≈55.15º, 304.85º
\n" ); document.write( "tan(x)=tan(55.15)≈1.4361..
\n" ); document.write( "exact value=√33/4≈1.4361..
\n" ); document.write( "or
\n" ); document.write( "tan(x)=tan(304.85º)≈-1.4361..
\n" ); document.write( "exact value=-√33/4≈-1.4361.. \n" ); document.write( "

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