document.write( "Question 818897: Suppose C(s) = (0.6, 0.8). Find sin (s+Π).\r
\n" ); document.write( "\n" ); document.write( " I tried drawing a triangle with those coordinates, and I only confused myself more. Please help. \n" ); document.write( "

Algebra.Com's Answer #492861 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'm guessing that \"II\" means $\"pi\"$ . In the future, just type \"pi\".

\n" ); document.write( "Using sin(A+B) = sin(A)cos(B) + cos(A)sin(B) on $\"sin%28s%2Bpi%29\"$ we get:
\n" ); document.write( " $\"sin%28s%29cos%28pi%29%2Bcos%28s%29sin%28pi%29\"$
\n" ); document.write( "Since $\"cos%28pi%29+=+-1\"$ and $\"sin%28pi%29+=+0\"$ :
\n" ); document.write( "sin(s)(-1) + 0
\n" ); document.write( "which is simply:
\n" ); document.write( "-sin(s)

\n" ); document.write( "The triangle you drew should help at this point. Use the Pythagorean Theorem to find the hypotenuse:
\n" ); document.write( " $\"0.6%29%5E2%2B%280.8%29%5E2+=+h%5E2\"$
\n" ); document.write( " $\"0.36+%2B+0.64+=+h%5E2\"$
\n" ); document.write( " $\"1+=+h%5E2\"$
\n" ); document.write( " $\"1+=+h\"$

\n" ); document.write( "One way to look at sin is that it is y/h. So sin(s) = 0.8/1 = 0.8. This makes -sin(s):
\n" ); document.write( "-0.8 \n" ); document.write( "

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