document.write( "Question 285400: PLEASE HELP!!
\n" );
document.write( "1. If sin(theta)=1/2, then sin(-theta)=______, sin(pi - theta)=______, and sin(theta + pi)=________?
\n" );
document.write( "2. If cos(theta)=square root 3/2, then cos(-theta)=______, cos(pi - theta)=_____, and cos (theta + pi)=______ ? \n" );
document.write( "
Algebra.Com's Answer #206882 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. If sin(theta)=1/2, then sin(-theta)= -1/2, \n" ); document.write( "--- \n" ); document.write( "sin(pi - theta)= sin(pi)cos(theta)-cos(pi)sin(theta) = 0-(-1)(1/2) = 1/2 \n" ); document.write( "--- \n" ); document.write( "sin(theta + pi)= sin(theta)cos(pi)+cos(theta)sin(pi) = -sin(theta)+0 = -1/2 \n" ); document.write( "==============================================================\r \n" ); document.write( "\n" ); document.write( "2. If cos(theta)=(sqrt3)/2, then cos(-theta)=(sqrt3)/2, \n" ); document.write( "--- \n" ); document.write( "cos(pi - theta)= cos(pi)cos(theta)+sin(pi)sin(theta)= -cos(theta)= -(sqrt3)/2 \n" ); document.write( "---- \n" ); document.write( "cos(theta+pi)=cos(theta)cos(pi)-sin(theta)sin(pi)=-cos(theta)= -(sqrt3)/2 \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |