Evaluate:
$sin 4 2^{0} sin 4 8^{0} - cos 4 2^{0} cos 4 8^{0}$

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Evaluate:

sin 4 2^{0} sin 4 8^{0} - cos 4 2^{0} cos 4 8^{0}

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Text solutionVerified

sin 4 2^{0} sin 4 8^{0} - cos 4 2^{0} cos 4 8^{0}

= sin (9 0^{0} - 4 8^{0}) sin 4 8^{0} - cos (9 0^{0} - 4 8^{0}) cos 4 8^{0}

= cos 4 8^{0} sin 4 8^{0} - sin 4 8^{0} cos 4 8^{0}

= cos 4 8^{0} sin 4 8^{0} - cos 4 8^{0} sin 4 8^{0}

= 0

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