At which of the following x-values is cos x equal to zero?
Ax = (2n+1)π/2
Bx = nπ
Cx = 2nπ
Dx = 2nπ + π/3
Answer & Solution
Correct answer: A. x = (2n+1)π/2
cos x = 0 at odd multiples of π/2 (i.e. ±π/2, ±3π/2, ...).
**General form:** x = (2n+1)π/2, n ∈ ℤ.
(sin x = 0 at x = nπ — option A is the wrong function.)
Keep practising Unit 1A3: Function Composition and Inverses
Browse all Unit 1A3: Function Composition and Inverses questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
How many PERFECT SQUARES lie strictly between 100 and 200?Using prime factorisation, √324 equals:The sum 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 equals:Which of the following is a perfect square?Which of the following is NOT a perfect square?Three rational numbers a, b, c are given. Which of the following is ALWAYS true?For which rational number a is the statement 'a is its own additive inverse' TRUE?Using distributivity, the value of (7/5) × (−3/12) + (7/5) × (5/12) is: