5
QuizMultiple Choice

Trigonometric Double Angle Identities

Question 5 of 10 • Mathematics III A

Consider the derivation of an alternate form of the cosine double angle identity.

Question illustration
Answer
A
In step 1, cos(2x) is equal to cos2(x) + sin2(x).
B
In step 2, sin2(x) should have been replaced with 1 + cos2(x).
C
In step 3, cos2(x) – 1 – cos2(x) should be cos2(x) – 1 + cos2(x).
D
In step 4, 2cos2(x) – 1 should be 1 – 2cos2(x).
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