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Omni-MATH / Suppose x is a real number such that sin(1+cos²x+sin⁴x)=(13)/(14). Compute cos(1+sin²x+cos⁴x).

Problem

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problem

Suppose xx is a real number such that sin(1+cos2x+sin4x)=1314\sin \left(1+\cos ^{2} x+\sin ^{4} x\right)=\frac{13}{14}. Compute cos(1+sin2x+cos4x)\cos \left(1+\sin ^{2} x+\cos ^{4} x\right).
Plain-text mathematical notation (without MathML)
Suppose x is a real number such that sin(1+cos²x+sin⁴x)=(13)/(14). Compute cos(1+sin²x+cos⁴x).
Original LaTeX notation
Suppose $x$ is a real number such that $\sin \left(1+\cos ^{2} x+\sin ^{4} x\right)=\frac{13}{14}$. Compute $\cos \left(1+\sin ^{2} x+\cos ^{4} x\right)$.

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Source and history

task_id
498c6a12-36be-566c-b923-d981e8f1fb6c
task_key
test--498c6a12-36be-566c-b923-d981e8f1fb6c
task_revision_id
1
config / split
/ test

Official source

initial import