Refine and simplify expressions

How-to 5 steps, run in order in one session. Every step was executed against the engine and the output below is what it produced.

Step 1

Sqrt[x ^ 2]

Output

Sqrt[x^2]

Step 2

Sqrt[(-3) ^ 2]

Output

Step 3

Refine[Sqrt[x ^ 2], Element[x, Reals]]

Output

Abs[x]

Step 4

Sin[x] ^ 2 + Cos[x] ^ 2

Output

Cos[x]^2 + Sin[x]^2

Step 5

Simplify[Sin[x] ^ 2 + Cos[x] ^ 2]

Output

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Functions used

Cos Element Refine Simplify Sin Sqrt

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