document.write( "Question 1107874: What is \"tan%28theta%29\" if \"cos%28pi%2Btheta%29=sin%28theta%29\"? \n" ); document.write( "
Algebra.Com's Answer #722909 by ikleyn(52814)\"\" \"About 
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document.write( "If  \"cos%28pi%2Btheta%29\" = \"sin%28theta%29\"  then\r\n" );
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document.write( "\"sin%28theta%29\" = \"cos%28pi%29%2Acos%28theta%29+-+sin%28pi%29%2Asin%28theta%29\" = \"%28-1%29%2Acos%28theta%29+-+0%2Asin%28theta%29\" = -\"cos%28theta%29\".\r\n" );
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document.write( "Thus,  if  {{cos(pi+theta)}}} = \"sin%28theta%29\"  then  \"sin%28theta%29\" = -\"cos%28theta%29\".\r\n" );
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document.write( "Hence,  if  \"cos%28pi%2Btheta%29\" = \"sin%28theta%29\",  then  \"tan%28theta%29\" = \"sin%28theta%29%2Fcos%28theta%29\" = -1.\r\n" );
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document.write( "It implies  \"theta\" = \"5pi%2F4\".\r\n" );
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