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 #821462 by Alan3354(69443)\"\" \"About 
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Find the exact solution to each equation for the interval 0°≤x<360°.
\n" ); document.write( "3. cosx = 2sinx
\n" ); document.write( "---------------------
\n" ); document.write( "cos^2(x) = 4sin^2(x)
\n" ); document.write( "1 - sin^2(x) = 4sin^2(x)
\n" ); document.write( "5sin^2(x) = 1
\n" ); document.write( "sin^2(x) = 1/5
\n" ); document.write( "sin(x) = sqrt(5)/5
\n" ); document.write( "x = ~ 29.517 degs
\n" ); document.write( "============
\n" ); document.write( "sin(x) = -sqrt(1/5)
\n" ); document.write( "x = ~ - 29.517 degs --- extraneous, ignore
\n" ); document.write( "----
\n" ); document.write( "Sine and cosine have the same sign, pos or negative, in Q1 and Q3.
\n" ); document.write( "Check for 29.517 + 180 degs
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\n" ); document.write( "4. secx/1+secx = sec²x/2+secx <--(fraction form)
\n" ); document.write( "Ambiguous - add parentheses
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