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Omni-MATH / Find x such that trigonometric

Problem

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

problem

Find xx such that trigonometric sin3xcos(60∘−x)+1sin(60∘−7x)−cos(30∘+x)+m=0\frac{\sin 3x \cos (60^\circ -x)+1}{\sin(60^\circ - 7x) - \cos(30^\circ + x) + m}=0 where mm is a fixed real number.
Plain-text mathematical notation (without MathML)
Find x such that trigonometric 
(sin3xcos(60^(∘)−x)+1)/(sin(60^(∘)−7x)−cos(30^(∘)+x)+m)=0
where m is a fixed real number.
Original LaTeX notation
Find $x$ such that trigonometric 
\[\frac{\sin 3x \cos (60^\circ -x)+1}{\sin(60^\circ - 7x) - \cos(30^\circ + x) + m}=0\]
where $m$ is a fixed real number.

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Source and history

task_id
611d84b3-99b0-5691-9219-94eb376830d6
task_key
test--611d84b3-99b0-5691-9219-94eb376830d6
task_revision_id
1
config / split
/ test

Official source

initial import