Question

prove that cos^2(x/2)=(1+cos x)/2​

Answer 1

Answer:

Hope the below answer helps

Step-by-step explanation:

$cos^{2} \frac{x}{2} = \frac{1+cosx}{2}$     ............................................(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

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