.
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document.write( "Use the sum or difference identities to find the exact value of the trigonometric function.
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document.write( "tan([23pi]/[12])
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document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
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document.write( "
=
=
= -tan(15°) =
.\r\n" );
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document.write( "sin(15°) =
= (formula of half argument for sine, see the lesson Trigonometric functions of half argument in this site)\r\n" );
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document.write( "=
=
=
.\r\n" );
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document.write( "cos(15°) =
= (formula of half argument for sine, see the lesson Trigonometric functions of half argument in this site)\r\n" );
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document.write( "=
=
=
.\r\n" );
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document.write( "Therefore, tan(15°) =
.\r\n" );
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document.write( "You can rationalize the denominator in the last expression by multiplying the numerator and the denominator by
. You will get \r\n" );
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document.write( "tan(15°) =
=
=
=
.\r\n" );
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document.write( "Finally,
=
=
=
(negative value).\r\n" );
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document.write( "It is your answer. The problem is solved.\r\n" );
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document.write( "See also the lesson Trigonometric functions of half argument - Examples, Example 2. \r\n" );
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