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Some Applications Of Trigonometry

Question

Evaluate:
sin 60°. cos 30° - cos 60°. sin 30°.

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Solution

sin 60°. cos 30° - cos 60°. sin 30°

space equals space fraction numerator square root of 3 over denominator 2 end fraction cross times fraction numerator square root of 3 over denominator 2 end fraction minus 1 half cross times 1 half space equals space 3 over 4 minus 1 fourth space equals 2 over 4 equals 1 half.