HMMT 2023 A3

Algebra and Number Theory
Answer

Suppose $x$ is a real number such that $\sin \left(1+\cos ^{2} x+\sin ^{4} x\right)=\frac{13}{14}$ . Compute $\cos \left(1+\sin ^{2} x+\cos ^{4} x\right)$ .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

-\frac{3 \sqrt{3}}{14}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Solutions

Similar problems