Simplify (1-sin(x))^2

Problem

(1−sin(x))2

Solution

1. Expand the binomial using the square of a difference formula (a−b)2=a2−2*a*b+b2

2. Identify the terms where a=1 and b=sin(x)

3. Substitute these values into the formula to get 1−2*(1)*(sin(x))+sin2(x)

4. Simplify the constants and coefficients to reach the final expanded form.

Final Answer

(1−sin(x))2=1−2*sin(x)+sin2(x)

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