Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Using exact values from the 30- 60- 90 special triangle
2cos60°sin30°
= 2 × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1 × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]2 \cos(60) \sin(30) [/tex]
[tex] \cos(60) = \frac{1}{2} [/tex]
[tex] \sin(30) = \frac{1}{2} [/tex]
[tex]2 \times \frac{1}{2} \times \frac{1}{2} [/tex]
[tex]2 \times \frac{1}{4} [/tex]
[tex] \frac{1}{2} [/tex]
