document.write( "Question 1029714: Hi,
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document.write( "I'm very lost. The direction said to find the exact value of Θ in the interval of 0˚≤ Θ ≤ 360˚ that satisfy each equation.\r
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document.write( "1)csc^2 Θ-cot Θ -1=0 ( this is cosecant squared theta minus cotangent theta minus 1 =0)
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document.write( "this is what I did so far: (1/sin^2 Θ) - (cosΘ /sinΘ) -1=0
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document.write( "then multiplied by sinΘ and from there I got confused because when I got my final answer:Θ does not exist, it didn't match the answer given.
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document.write( "2)2cosΘ =secΘ \r
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document.write( "3)cot^2 Θ =cscΘ +1 (this is cotangent squared theta = cosecant theta plus 1)\r
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document.write( "for all of these questions my final answers don't match the answers that were given I tried solving another way but I'm stuck. can you please help me \n" );
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Algebra.Com's Answer #644697 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! find the exact value of Θ in the interval of 0˚≤ Θ ≤ 360˚ that satisfy each equation. \r \n" ); document.write( "\n" ); document.write( "1)csc^2 Θ-cot Θ -1=0 \n" ); document.write( "----- \n" ); document.write( "(cot^2+1) - cot - 1 = 0 \n" ); document.write( "cot^2(t) - cot(t) = 0 \n" ); document.write( "cot(cot-1) = 0 \n" ); document.write( "cot(t) = 0 or cot(t) = 1 \n" ); document.write( "------ \n" ); document.write( "t = pi/2 or (3/2)pi or pi/4 or (5/4)pi \n" ); document.write( "================================================\r \n" ); document.write( "\n" ); document.write( "2)2cosΘ =secΘ \n" ); document.write( "2cos(t) = 1/cos(t) \n" ); document.write( "cos^2(t) = 1/2 \n" ); document.write( "---- \n" ); document.write( "cos(t) = 1/sqrt(2) \n" ); document.write( "t = +/-(pi/3) \n" ); document.write( "--------- \r \n" ); document.write( "\n" ); document.write( "3)cot^2 Θ =cscΘ +1 \n" ); document.write( "----- \n" ); document.write( "(csc^2 - 1) = csc + 1 \n" ); document.write( "---- \n" ); document.write( "csc^2 - csc -2 = 0 \n" ); document.write( "----- \n" ); document.write( "(csc-2)(csc+1) = 0 \n" ); document.write( "------------------ \n" ); document.write( "csc(t) = 2 or csc(t) = -1 \n" ); document.write( "----------------------- \n" ); document.write( "t = pi/6 or (5/6)pi or (3/2)pi \n" ); document.write( "-------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------- \n" ); document.write( " \n" ); document.write( " |