# Sine and Cosine powers

**Geometry**Level 2

\[\large \sin^{6}(\theta)+\cos^{6}(\theta)=\sin(2\theta) = \ ? \]

If the above equation is true, then what is the value of \(\sin(2\theta)\)? **Give your answer to 3 decimal places.**

\[\large \sin^{6}(\theta)+\cos^{6}(\theta)=\sin(2\theta) = \ ? \]

If the above equation is true, then what is the value of \(\sin(2\theta)\)? **Give your answer to 3 decimal places.**

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