document.write( "Question 1180390: Solve sin3x = cos3x for 0° < x < 360°. In terms of decimals. \n" ); document.write( "

Algebra.Com's Answer #810038 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Solve sin3x = cos3x for 0° < x < 360°. $\"highlight%28cross%28In_terms_of_decimals%29%29\"$ .
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document.write( "If  sin(3x) = cos(3x),  then it implies\r\n" );
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document.write( "    3x = 90° - 3x + k*360°,  or\r\n" );
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document.write( "    3x + 3x = 90° + k*360°\r\n" );
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document.write( "       6x   = 90° + k*360°.\r\n" );
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document.write( "Giving  \"k\"  the values k= 0, 1, 2, 3, 4, 5, you get 6 (six) values for x in the given interval\r\n" );
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document.write( "     x = 15°, 75°, 135°, 195°, 255°, 315°.      ANSWER\r\n" );
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