Explain why you cannot square each side of the equation when verifying a trigonometric identity $?$

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Solution

We cannot square each side of the equation when verifying a trigonometric identity due to the following reason:
When we do verification of an identity, we must work separately to both sides so that we can see in the end whether we can get an equality. If we square both sides that means we assume the equality exists and so there will be no need to verify it. To verify an identity we have to use logical steps to show that one side of the equation can be transformed into the other side of the equation.
Hence, we cannot square each side of the equation when verifying a trigonometric identity.

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