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document.write( "Tangent (theta) + square root of 3 = secant (theta)\r
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document.write( "I tried squaring both sides but in the end I never result with the correct answer.
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document.write( "I'm not sure how to start this one or what I am doing wrong.
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document.write( "So, you are trying to solve an equation\r\n" );
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document.write( "tan(x) + 
= sec(x).\r\n" );
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document.write( "It is the same as\r\n" );
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document.write( "
+ = 
.\r\n" );
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document.write( "Multiply both sides by cos(x). You will get\r\n" );
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document.write( "
+ 
= 1.\r\n" );
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document.write( "Multiply both sides by 
. You will get\r\n" );
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document.write( "
+ 
= .\r\n" );
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document.write( "Recall that = 
, 
= 
.\r\n" );
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document.write( "Therefore, you can write the last equation as \r\n" );
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document.write( "
= .\r\n" );
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document.write( "Apply the addition formula for sine. ( It is cos(a)*sin(b) + sin(a)*cos(b) = sin(a+b). \r\n" );
document.write( " See the lesson Addition and subtraction formulas in this site ). You will get\r\n" );
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document.write( "
= .\r\n" );
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document.write( "It implies 
= 
or = 
.\r\n" );
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document.write( "Hence, x = 
= 
or x = 
= 
= 
.\r\n" );
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document.write( "The last root doesn't fit due to \"sec\" in the original equation.\r\n" );
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document.write( "Answer. x = , or 
for any integer \"k\".\r\n" );
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document.write( "See also the lessons\r
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document.write( " - Solving simple problems on trigonometric equations\r
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document.write( " - Solving more complicated problems on trigonometric equations\r
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document.write( " - Solving advanced problems on trigonometric equations\r
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document.write( "in this site.\r
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