alleryIf z = cos(π/7) + i sin(π/7), then z⁷ equals:
Ai
B-1
C1
D-i
Answer & Solution
Correct answer: B. -1
By DeMoivre: z⁷ = (cos π/7 + i sin π/7)⁷ = cos(π) + i sin(π) = -1 + 0i = -1.
Keep practising Unit 3B: Implicit Differentiation and Inverse Functions
Browse all Unit 3B: Implicit Differentiation and Inverse Functions questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
An event is described as having 'EVEN CHANCE'. Its probability is:If you toss a fair coin and the probability of heads is 1/2, what is the probability of NOThe probability of drawing any number from 2 to 10 from a standard deck of 52 cards is:If a bag has 6 cards numbered 1 to 6, and 3 of them are purple, the probability of drawingThe probability of an IMPOSSIBLE event is:Probability measures:Solve 3 ≤ 2x - 1 ≤ 7 (a DOUBLE inequality) for real x.Identify a QUADRATIC inequality (not a linear inequality).