Multiple Choice Question (MCQ)

Determine the value of the trigonometric expression

\sin 20° \cos 10°-\cos 160°\sin 10° =

  1. ×

    -\dfrac{\sqrt{3} }{2}

  2. ×

    \dfrac{\sqrt{3} }{2}

  3. ×

    -\dfrac{1}{2}

  4. \dfrac{1}{2}

Collected in the board: Trigonometry

Steven Zheng posted 2 months ago


Answer

  1. \sin 20° \cos 10°-\cos 160°\sin 10°

    =\sin 20° \cos 10°-\cos 20°\sin 10°

    =\sin(10°+20°)

    =\sin 30°

    =\dfrac{1}{2}

Steven Zheng posted 2 months ago

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