SOLUTION: prove {{{sin^2(theta)=(1/2)(1-cos2(theta))}}} is an identity

Algebra.Com
Question 882956: prove is an identity
Answer by Leaf W.(135)   (Show Source): You can put this solution on YOUR website!
Hello!
***
Since the right side is more complicated, let us work from the right and try to get to the left side.
***
Use the trig identity and simplify:



***
Since , , so use this to substitute for and simplify:




***
Yay! Both sides of the equation are the same, so you have verified the identity!
Let me know if you need any further clarification. =)

RELATED QUESTIONS

prove... (answered by lwsshak3)
Prove the following identity : (cos^2 theta - sin^2 theta)/(cos^2 theta + sin theta cos... (answered by MathLover1)
Prove the identity: sin^2 theta/1-cos theta = (sec theta + 1)/sec theta (answered by stanbon)
Prove: cos^2 theta/1-sin theta=1+sin... (answered by stanbon,lwsshak3)
How do you prove that sin^2 theta equals (sec^2 theta)(cos^2 theta) minus 1/sec^2theta is (answered by MathLover1)
Prove the identity: {{{tan(x) /( 1 + (tan(x))^2) = sin(x)cos(x)}}} (x is... (answered by jim_thompson5910)
Establish the identity: tan^2(theta)cos^2(theta) +... (answered by mananth)
Given cos(theta)= 1/4 with theta in Quadrant 1, find cos(theta/2) , sin(theta/2) ,... (answered by Theo)
prove that : 1 - sin theta / 1 + sin theta = ( sec theta- tan... (answered by htmentor)