Simplify 1-cos(x)

Problem

1−cos(x)

Solution

1. Identify the expression as a common trigonometric form that can be rewritten using power-reduction or half-angle identities.

2. Recall the half-angle identity for sine, which states sin2(x/2)=(1−cos(x))/2

3. Rearrange the identity by multiplying both sides by 2 to isolate the expression 1−cos(x)

4. Substitute the result to express the original term in terms of the sine function.

Final Answer

1−cos(x)=2*sin2(x/2)

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