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MATH / All solutions of the equation cos4x=−(1)/(2) can be expressed in the form ((kn±1)π)/(6), where n is an integer. Find the positive value of k.

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problem

All solutions of the equation cos4x=−12\cos 4x = -\frac{1}{2} can be expressed in the form (kn±1)π6,\frac{(kn \pm 1) \pi}{6}, where nn is an integer. Find the positive value of k.k.
Plain-text mathematical notation (without MathML)
All solutions of the equation cos4x=−(1)/(2) can be expressed in the form ((kn±1)π)/(6), where n is an integer.  Find the positive value of k.
Original LaTeX notation
All solutions of the equation $\cos 4x = -\frac{1}{2}$ can be expressed in the form $\frac{(kn \pm 1) \pi}{6},$ where $n$ is an integer.  Find the positive value of $k.$

level

Level 3

type

Precalculus

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Source and history

task_id
80ab9122-4c2f-50d4-9c9d-bdb9d0e927a8
task_key
precalculus--test--80ab9122-4c2f-50d4-9c9d-bdb9d0e927a8
task_revision_id
1
config / split
precalculus / test

Official source

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