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