SOLUTION: please help prove: [sin(y/2)+cos(y/2)]^2^=1+siny

Algebra.Com
Question 234312: please help prove: [sin(y/2)+cos(y/2)]^2^=1+siny
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!



Square the left side:



Swap the last two terms on the left side:




Use the identity  to replace
the first two terms by 1.



Use the identity  to replace
the second term on the left by  







Edwin

RELATED QUESTIONS

Hi. How do I prove this equation to be an identity? (tanY + sec^2 Y - tan^2Y)/secY =... (answered by jim_thompson5910)
Verify the following identity. 1 / siny - 1 / siny + 1 = - 2sec^2... (answered by MathLover1)
Prove the identity: cos^2 y - sin^2 y = 1-2sin^2... (answered by ikleyn)
Verify the identity help needed? sinx+siny/sinx-siny=... (answered by orca)
please help me prove tan x = 2 sin x cos x/ 1+cos^2 x-sin^2... (answered by lwsshak3)
please help me prove the identity... (answered by Timnewman,Alan3354)
please help prove:... (answered by Alan3354)
Please prove this identity: sin[(pi/2 - x) + y] =... (answered by MathLover1)
Could anyone please prove this: sin(x+y)sin(x-y)=cos^2(y)-cos^2(x) *involves adding and... (answered by stanbon)