Find the value of (cos + sin )^2 + (cos - sin )^2
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is a generic argument like x or θ , the simplified form will be an expression. If it has a particular argument like 0,π/2 , then the answer will be number, i.e. a value.
Assuming sin2θ−cos2θ ,
cos(2θ)=cos(θ+θ)=cos2θ−sin2θ .
Therefore, sin2θ−cos2θ=−cos(2θ) .
After you put a specific valur of θ , you'll get a value.
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