document.write( "Question 925902: Let (t) be a real number with $\"+cos+t+=+3%2F7+\"$ $\"3pi%2F2%3C+t+%3C+2pi+\"$ .\r
\n" ); document.write( "\n" ); document.write( "Find the exact value for each of the following:\r
\n" ); document.write( "\n" ); document.write( " $\"++sin+%28t+%2B+3pi%2F2+%29+\"$
\n" ); document.write( " $\"++sec+%28-t%29++\"$
\n" ); document.write( " $\"++cos+%282t%29++\"$
\n" ); document.write( " $\"++cos+%28%284pi%29%2F%283%29+-t%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "THANK YOU! \n" ); document.write( "

Algebra.Com's Answer #562017 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let (t) be a real number with $\"+cos+t+=+3%2F7+\"$ $\"3pi%2F2%3C+t+%3C+2pi+\"$ .
\n" ); document.write( "Find the exact value for each of the following:
\n" ); document.write( " $\"++sin+%28t+%2B+3pi%2F2+%29+\"$
\n" ); document.write( " $\"++sec+%28-t%29++\"$
\n" ); document.write( " $\"++cos+%282t%29++\"$
\n" ); document.write( " $\"++cos+%28%284pi%29%2F%283%29+-t%29+\"$
\n" ); document.write( "***
\n" ); document.write( "reference angle t is in quadrant IV where cos>0, sin<0
\n" ); document.write( "cos(t)=3/7
\n" ); document.write( "sin(t)=-√(1-cos^2(t))=-√(1-(9/49))=-√(40/49)=-√40/7
\n" ); document.write( "..
\n" ); document.write( "sin(t+3π/2)=sin(t)cos(3π/2)+cos(t)sin(3π/2)=-√40/7*0+3/7*-1=-3/7
\n" ); document.write( "..
\n" ); document.write( "sec(-t)=1/cos(-t)=1/cos(t)=sec(t)
\n" ); document.write( "..
\n" ); document.write( "cos(2t)=cos^2(t)-sin^2(t)=9/49-40/49=-31/49
\n" ); document.write( "..
\n" ); document.write( "cos(4π/3-t)=cos(4π/3)cos(t)+sin(4π/3)sin(t)
\n" ); document.write( "=-1/2*3/7+-√3/2*-√40/7
\n" ); document.write( "=-3/14+√120/14=(-3+√120)/14 \n" ); document.write( "

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