benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / There exist several solutions to the equation 1+(sinx)/(sin4x)=(sin3x)/(sin2x) where x is expressed in degrees and 0^(∘)<x<180^(∘). Find the sum of all such solutions.

Problem

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

problem

There exist several solutions to the equation 1+sinxsin4x=sin3xsin2x1+\frac{\sin x}{\sin 4 x}=\frac{\sin 3 x}{\sin 2 x} where xx is expressed in degrees and 0∘<x<180∘0^{\circ}<x<180^{\circ}. Find the sum of all such solutions.
Plain-text mathematical notation (without MathML)
There exist several solutions to the equation 1+(sinx)/(sin4x)=(sin3x)/(sin2x) where x is expressed in degrees and 0^(∘)<x<180^(∘). Find the sum of all such solutions.
Original LaTeX notation
There exist several solutions to the equation $1+\frac{\sin x}{\sin 4 x}=\frac{\sin 3 x}{\sin 2 x}$ where $x$ is expressed in degrees and $0^{\circ}<x<180^{\circ}$. Find the sum of all such solutions.

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
333f17d4-9e3a-5c34-aa17-82c3b423cfd5
task_key
test--333f17d4-9e3a-5c34-aa17-82c3b423cfd5
task_revision_id
1
config / split
/ test

Official source

initial import