Someone help me pliisss

The prove of the given identity is shown below:

Step-by-step explanation:

It seems that the question involves the proving of a trigonometric identity.

Therefore, we are going to work independently on each side of the equal sign.

We start by considering since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles:

and now we use the Pythagorean identity to replace the cosine square expression:

in the difference of square trig functions we had arrived to:

We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.

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step-by-step explanation:

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step-by-step explanation: