document.write( "Question 1011164: 12 sin^2(theda) =9 \n" ); document.write( "
Algebra.Com's Answer #626749 by ikleyn(52932)\"\" \"About 
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\n" ); document.write( "\"12%2Asin%5E2%28theta%29\" = \"9\".
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document.write( "Divide both sides by 12. You will get\r\n" );
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document.write( "\"sin%5E2%28theta%29\" = \"3%2F4\".\r\n" );
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document.write( "Take square roots from both sides. You will get\r\n" );
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document.write( "\"sin%28theta%29\" = +/- \"sqrt%283%29%2F2\".\r\n" );
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document.write( "\"sin%28theta%29\" = \"sqrt%283%29%2F2\"  -----> \"theta\" = +/- \"pi%2F3\" + \"2%2Ak%2Api\", k = 0, +/-1, +/-2, . . .   or   \"theta\" = \"2pi%2F3\" + \"2%2Ak%2Api\", k = 0, +/-1, +/-2, . . . \r\n" );
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document.write( "\"sin%28theta%29\" = \"-sqrt%283%29%2F2\"  -----> \"theta\" = \"-pi%2F3\" + \"2%2Ak%2Api\", k = 0, +/-1, +/-2, . . .   or   \"theta\" = \"-2pi%2F3\" + \"2%2Ak%2Api\", k = 0, +/-1, +/-2, . . . \r\n" );
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document.write( "Answer. The solutions are\r\n" );
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document.write( "         \"theta\" = \"pi%2F3\" + \"2%2Ak%2Api\", k = 0, +/-1, +/-2, . . .\r\n" );
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document.write( "         \"theta\" = \"2pi%2F3\" + \"2%2Ak%2Api\", k = 0, +/-1, +/-2, . . .\r\n" );
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document.write( "         \"theta\" = \"-pi%2F3\" + \"2%2Ak%2Api\", k = 0, +/-1, +/-2, . . . \r\n" );
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document.write( "         \"theta\" = \"-2pi%2F3\" + \"2%2Ak%2Api\", k = 0, +/-1, +/-2, . . . \r\n" );
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