document.write( "Question 642030: I'm having trouble solving this equation: sin2theta = cos36 degrees. I have tried to use the double angle formula for sin2theta and split it into 2sintheta times costheta and end up getting 2sintheta times costheta = cos36 degrees, but I don't know what to do from there to get it to become a single trig function so that I can solve for theta. \n" ); document.write( "
Algebra.Com's Answer #403935 by DrBeeee(684) ![]() You can put this solution on YOUR website! The trig ID you need to use is \n" ); document.write( "(1) cos(x) = sin(90-x) \n" ); document.write( "Then your \n" ); document.write( "(2) cos(36) = sin(90-36) or \n" ); document.write( "(3) cos(36) = sin(54) \n" ); document.write( "Now you have \n" ); document.write( "(4) sin(2*A) = sin(54) or \n" ); document.write( "(5) 2*A = 54 or \n" ); document.write( "(6) A = 27 \n" ); document.write( "Answer: Theta is 27 degrees \n" ); document.write( " |