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Communicate a complete solution path
Worksheet
Grade Level
Trigonometry
TRIG.14 Communicate a complete solution path
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A student is solving 2sin(x)cos(x)=cos(x) on 0 <= x < 2pi. Which response communicates a complete and logically ordered solution path?
A
Divide both sides by cos(x), solve 2sin(x)=1, and list only x=pi/6 and x=5pi/6.
B
List all four answers without showing the factoring step that keeps the cos(x)=0 solutions.
C
Move all terms to one side and factor: cos(x)(2sin(x)-1)=0. Then cos(x)=0 gives x=pi/2, 3pi/2, and sin(x)=1/2 gives x=pi/6, 5pi/6.
D
Use the double-angle identity to write sin(2x)=cos(x), then stop because it is harder.
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