Determine the value of the trigonometric expression
\sin 20° \cos 10°-\cos 160°\sin 10° =
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×
-\dfrac{\sqrt{3} }{2}
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×
\dfrac{\sqrt{3} }{2}
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×
-\dfrac{1}{2}
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✓
\dfrac{1}{2}
Multiple Choice Question (MCQ)
Answer
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\sin 20° \cos 10°-\cos 160°\sin 10°
=\sin 20° \cos 10°-\cos 20°\sin 10°
=\sin(10°+20°)
=\sin 30°
=\dfrac{1}{2}