document.write( "Question 45148: hello :
\n" ); document.write( " i really could use some help with this problem. i am a little confused with this one
\n" ); document.write( "thank you in advance, it is greatly appreciated.
\n" ); document.write( " terry\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "find the exact value of : sin 2 theta, cos 2 theta, tan 2 theta\r
\n" ); document.write( "\n" ); document.write( "sin theta = - 4\5 270 degrees less than theta. theta less than 360 degrees \n" ); document.write( "
Algebra.Com's Answer #29966 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
find the exact value of : sin 2 theta, cos 2 theta, tan 2 theta
\n" ); document.write( "sin theta = - 4\5 270 degrees less than theta. theta less than 360 degrees\r
\n" ); document.write( "\n" ); document.write( "Since sin(theta)=-4/5 in the 4th quadrant,
\n" ); document.write( "cos(theta)=3/5 and tan(theta)=sin/cos = -4/3
\n" ); document.write( "-------------------------------\r
\n" ); document.write( "\n" ); document.write( "Then sin(2theta) = 2sin(theta)cos(theta)
\n" ); document.write( "=2(-4/5)(3/5)=-24/25
\n" ); document.write( "-------------------------------
\n" ); document.write( "cos(2theta)= cos^2(theta)-sin^2(theta)
\n" ); document.write( "=(3/5)^2 - (-4/5)^2
\n" ); document.write( "=9/25-16/25
\n" ); document.write( "=-7/25
\n" ); document.write( "--------------------------------
\n" ); document.write( "tan(2theta)=(2tan(theta))/(1-tan^2(theta)
\n" ); document.write( "=(2(-4/3))/(1-(-4/3)^2)
\n" ); document.write( "=(-8/3)/(-7/9)
\n" ); document.write( "=24/7\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );