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Pythagorean identities
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<strong>identity,</strong></span>in mathematics, is an equation that is true for<span class="TimesBlue16"><strong>all</strong></span>possible values. <span class="TimesBlack12">(It is always true regardless of the values that are substituted XXXX the equation.)</span> X<span XXXXX="XXXXXXXXXXX"><strong>trigonometric</strong></span><span class="TimesBlue16"><strong>XXXXXXXX</XXXXXX></span>XX an equation that involves XXXXXXXXXXXXX functions and XX XXXX for XXXXX single XXXXX XXXXXXXXXXX XXX XXX XXXXXXXX (XXXXXXXX both XXXXX are "XXXXXXX" XXX that XXXXX) You XXXX XXXX XXXX trigonometric XXXXXXXXXX are XXXXXXXXXX XXXXXX for XXXXXXXXXXX trigonometric XXXXXXXXXXX.</p> <p>XXX XXXX common trigonometric XXXXXXXXXX XXX those involving XXX<span XXXXX="TimesBlue16"><strong>XXXXXXXXXXX XXXXXXX.</strong></span> </p> <p>This XXXX-XXXXX equation XX called a<span XXXXX="TimesBlue16"><strong>Pythagorean Identity</XXXXXX></span><XXXXXX>.</strong><XX>It is XXXX XXX all XXXXXX XX<em>θ</em>in the unit XXXXXX.</p> <p>XX now XXXX a XXXXXX<span XXXXX="XXXXXXXXXXX"><strong>XXXXXXXXXXX Identity:</strong></span></p> <table><tbody><tr><td> When studying the XXXX XXXXXX (radius XX X), it was observed XXXX a XXXXX on XXX unit XXXXXX (a XXXXXX XX the right triangle) can be XXXXXXXXXXX XX the coordinates (cos<em>θ</em>, XXX<em>X</em>). <p>Since XXX XXXX XX the right triangle in the XXXX circle XXXX XXX values of XXX<em>θ</em>XXX cos<em>θ</em>, XXX XXXXXXXXXXX Theorem XXX be used XX obtain sin<sup>X</XXX><em>X +</em>XXX<XXX>2</XXX><em><em>X</em></em>= X.</p></td></tr></tbody> </table> <table><tbody><tr><td><img src="XXXXX://XXXXXXXXXXXXXXXX.XXX/Algebra2/XXXXXXXXXXXX/XXXXXXXX.XXX" alt="pythag11" border="X"> </td></tr></tbody></table> <p>It XXXXXX be XXXXX that there XXX XXXXXX XX<em>X</em>XXX XXXXX tangent and XXXXXX are undefined.</p> <p></p> <p>XXX XXXXX<span XXXXX="XXXXXXXXXXX"><strong>Pythagorean XXXXXXXX</XXXXXX></span><span class="TimesBlack16">XX:</span></p> <table><tbody><tr><td><XXX XXX="https://XXXXXXXXXXXXXXXX.com/Algebra2/XXXXXXXXXXXX/pythag16.gif" XXX="pytha16" border="0"> </td></tr></tbody></table> <p><br></p>">
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