Prove that cos^2(x/2)=(1+cos x)/2

1.	Prove that cos^2(x/2)=(1+cos x)/2
Answer» Answer: Hope the below answer helps Step-by-step EXPLANATION: $cos^{2} \frac{x}{2} = \frac{<klux>1</klux>+cosx}{2} \\$ ............................................(1) Now we know that $cosx = 2cos^{2 }\frac{x}{2} - 1\\\\$ that is $2cos^2\frac{x}{2} = cosx +1\\$ Now from (1) $cos^2\frac{x}{2} = \frac{1+cosx}{2} \\2cos^2\frac{x}{2} =1+cosx\\cosx +1 = cosx +1\\L.H.S. = R.H.S$ Hence proved PLEASE mark brainliest if it helps you

Answer»

Answer:

Hope the below answer helps

Step-by-step EXPLANATION:

$cos^{2} \frac{x}{2} = \frac{<klux>1</klux>+cosx}{2} \\$ ............................................(1)