document.write( "Question 1122857: Can someone please help me solve these two problems for THETA θ\r
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Algebra.Com's Answer #739031 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"sin%5E4%282theta%29\" - \"2+sin%5E2%282theta%29\" = -1  <====>  (is equivalent to) \r\n" );
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document.write( "\"sin%5E4%282theta%29+-+2%2Asin%5E2%282theta%29+%2B+1\" = 0  <====>  (is equivalent to)\r\n" );
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document.write( "\"%28sin%5E2%282theta%29+-1%29%5E2\" = 0  <====>  (is equivalent to)\r\n" );
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document.write( "\"sin%5E2%282theta%29-1\" = 0  <====>  (is equivalent to) \r\n" );
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document.write( "\"sin%5E2%282theta%29\" = 1   <====>  (is equivalent to)\r\n" );
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document.write( "\"sin%282theta%29\" = +/- 1.\r\n" );
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document.write( "    Case 1.  \"sin%282theta%29\" = 1   is equivalent to  \"2theta\" = \"pi%2F2\", \"pi%2F2+%2B-+2pi\", \"pi%2F2+%2B-+4pi\", . . . , \"pi%2F2+%2B-+2n%2Api\",  where n is any integer.\r\n" );
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document.write( "             General solution for this case is  \"theta\" = \"pi%2F4+%2B+n%2Api\",  where n is any integer.\r\n" );
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document.write( "    Case 2.  \"sin%282theta%29\" = -1   is equivalent to  \"2theta\" = \"%283pi%29%2F2\", \"%283pi%29%2F2+%2B-+2pi\", \"%285pi%29%2F2+%2B-+4pi\", . . . , \"%283pi%29%2F2+%2B-+2n%2Api\",  where n is any integer.\r\n" );
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document.write( "             General solution for this case is  \"theta\" = \"%283pi%29%2F4+%2B+n%2Api\",  where n is any integer\r\n" );
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document.write( "Answer.  Any angle of the set  \"pi%2F4%2Bk%2Api\", \"%283pi%29%2F4%2Bk%2Api\"  is the solution, where k is any integer.\r\n" );
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