document.write( "Question 535378: find all values of t in the interval [0,2pi] satisfying |sec(t)|= squareroot 2 \n" ); document.write( "

Algebra.Com's Answer #351903 by lwsshak3(11628) $\"\"$ $\"About$

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find all values of t in the interval [0,2pi] satisfying |sec(t)|= squareroot 2
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\n" ); document.write( "sec t=√2
\n" ); document.write( "t=π/4
\n" ); document.write( "Normally, values of t would be found only in quadrants I and IV where sec>0
\n" ); document.write( "But with |sec t|=√2, you must also consider |-sec t|.
\n" ); document.write( "When you remove the absolute value bars the equation becomes -sec t=√2 or sec t=-√2, therefore, values of t would be found as well in quadrants II and III where sec<0, as follows:
\n" ); document.write( "t=π/4, 3π/4/ 5π/4 and 7π/4 \n" ); document.write( "

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