document.write( "Question 926571: Draw an appropriate triangle to find the exact value of :
\n" ); document.write( "1. csc45°
\n" ); document.write( "2. cot30°
\n" ); document.write( "3. sec45°
\n" ); document.write( "4. cot60°
\n" ); document.write( "Can you please help me out and show the steps because it would really help me understand, thank you very much in advance:)
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Algebra.Com's Answer #562356 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Draw an appropriate triangle to find the exact value of :
\n" ); document.write( " 1. csc45°
\n" ); document.write( "Draw a 45-45-90 right triangle.
\n" ); document.write( "Let the equal sides be \"1\".
\n" ); document.write( "Then the hypotenuse is sqrt(1^2+1^2) = sqrt(2)
\n" ); document.write( "Then csc(45) = hyp/opp = sqrt(2)/1 = sqrt(2)
\n" ); document.write( "---------------------------------
\n" ); document.write( " 2. cot30°
\n" ); document.write( "Draw a 30-60-90 right triangle.
\n" ); document.write( "Let the side opposite the 30 degree angle be \"1\"
\n" ); document.write( "Then the hypotenuse is \"2\" and the base is sqrt[2^2-1^2] = sqrt(3)
\n" ); document.write( "Then cot(30) adj/opp = sqrt(3)/1 = sqrt(3)
\n" ); document.write( "--------------------------------
\n" ); document.write( " 3. sec45°
\n" ); document.write( "Use the triangle from #1
\n" ); document.write( "sec(45) = hyp/adj = sqrt(2)/1 = sqrt(2)
\n" ); document.write( "--------------------------
\n" ); document.write( " 4. cot60°
\n" ); document.write( "Use the triangle from #2
\n" ); document.write( "cot(60) = adj/opp = 1/sqrt(3)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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