Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same
2 answers:
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The given proof of De Moivre's theorem is related to the operations of
complex numbers.
<h3>The Correct Responses;</h3>- Step A: Laws of indices
- Step C: Expanding and collecting like terms
- Step D: Trigonometric formula for the cosine and sine of the sum of two numbers
The given proof is presented as follows;
- Step A: By laws of indices, we have;
- Step B: By expanding, we have;
- Step D: From trigonometric addition formula, we have;
cos(A + B) = cos(A)·cos(B) - sin(A)·sin(B)
sin(A + B) = sin(A)·cos(B) + sin(B)·cos(A)
Therefore;
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