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MATH / If 0≤θ≤4π, find all values of θ which satisfy

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

If 0≤θ≤4π,0 \le \theta \le 4 \pi, find all values of θ\theta which satisfy log12sin2θsinθ=12.\log_{\frac{1}{2} \sin 2 \theta} \sin \theta = \frac{1}{2}.Enter all the solutions, separated by commas.
Plain-text mathematical notation (without MathML)
If 0≤θ≤4π, find all values of θ which satisfy
log_((1)/(2)sin2θ)sinθ=(1)/(2).Enter all the solutions, separated by commas.
Original LaTeX notation
If $0 \le \theta \le 4 \pi,$ find all values of $\theta$ which satisfy
\[\log_{\frac{1}{2} \sin 2 \theta} \sin \theta = \frac{1}{2}.\]Enter all the solutions, separated by commas.

level

Level 3

type

Precalculus

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Source and history

task_id
16a33991-3c7e-5b72-a856-71cc1685802f
task_key
precalculus--test--16a33991-3c7e-5b72-a856-71cc1685802f
task_revision_id
1
config / split
precalculus / test

Official source

initial import