document.write( "Question 1189942: TRIGONOMETRY\r
\n" ); document.write( "\n" ); document.write( "A. Find the exact solution to each equation for the interval 0°≤x<360°.
\n" ); document.write( "3. cosx = 2sinx
\n" ); document.write( "4. secx/1+secx = sec²x/2+secx <--(fraction form)\r
\n" ); document.write( "\n" ); document.write( "(Show full solution)
\n" ); document.write( "Thank you! :)
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Algebra.Com's Answer #821464 by MathLover1(20855)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "3.\r
\n" ); document.write( "\n" ); document.write( "given: \r
\n" ); document.write( "\n" ); document.write( "\"cos%28x+%29=+2sin%28x%29\", in interval \"0\"°≤\"x\"<\"360\"°\r
\n" ); document.write( "\n" ); document.write( "\"cos%28x+%29=+2sin%28x%29\"........both sides divide by \"cos%28x+%29\"\r
\n" ); document.write( "\n" ); document.write( "\"1=+2sin%28x%29%2Fcos%28x+%29\"\r
\n" ); document.write( "\n" ); document.write( "\"1%2F2=+sin%28x%29%2Fcos%28x+%29\".....use identity\r
\n" ); document.write( "\n" ); document.write( "\"tan%28x%29=1%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"x=tan%5E-1%281%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=0.46364\" radians\r
\n" ); document.write( "\n" ); document.write( "\"x=26.57\"°\r
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\n" ); document.write( "\n" ); document.write( "Solutions for the range \"0\"°≤\"x\"<\"360\"°:\r
\n" ); document.write( "\n" ); document.write( "\"x=0.46364\" radians
\n" ); document.write( "\"x=0.46364+%2Bpi\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+26.57\"°
\n" ); document.write( "\"x=26.57%2B180=206.57\"°\r
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\n" ); document.write( "\n" ); document.write( "4.\r
\n" ); document.write( "\n" ); document.write( "\"sec%28x%29%2F%281%2Bsec%28x%29%29+=+sec%5E2%28x%29%2F%282%2Bsec%28x%29%29\".........cross multiply\r
\n" ); document.write( "\n" ); document.write( "\"%282%2Bsec%28x%29%29sec%28x%29=+sec%5E2%28x%29%281%2Bsec%28x%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"2sec%28x%29%2Bsec%5E2%28x%29=+sec%5E2%28x%29%2Bsec%5E3%28x%29\".......simplify \r
\n" ); document.write( "\n" ); document.write( "\"2sec%28x%29=+sec%5E3%28x%29\"..........simplify\r
\n" ); document.write( "\n" ); document.write( "\"2=+sec%5E2%28x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"sec%28x%29=sqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=sec%5E-1%28sqrt%282%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=pi%2F4\"}\r
\n" ); document.write( "\n" ); document.write( "\"x=45\"°\r
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\n" ); document.write( "\n" ); document.write( "Solutions for the range \"0\"°≤\"x\"<\"360\"°:\r
\n" ); document.write( "\n" ); document.write( "Radians:\r
\n" ); document.write( "\n" ); document.write( "\"x=pi%2F4\"
\n" ); document.write( "\"x=3pi%2F4\"
\n" ); document.write( "\"x=5pi%2F4\"
\n" ); document.write( "\"x=7pi%2F4+\"\r
\n" ); document.write( "\n" ); document.write( "Degrees:\r
\n" ); document.write( "\n" ); document.write( "\"x=45\"°
\n" ); document.write( "\"x=135\"°
\n" ); document.write( "\"x=225\"°
\n" ); document.write( "\"x=315\"°\r
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