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A geometry problem by Charlton Teo

Geometry Level 1

Which of the following is equal to

$- \frac {\sin^4 \theta + \cos^4 \theta-1}{2}$

for all values of $\theta ?$

\sin^2 \theta \times \cos^2 \theta

1

\frac {\sin^2 \theta}{\tan^8 \theta}

\frac {\cos^8 \theta + \cos^6 \theta}{2}

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by Charlton Teo

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