Let’s work through Section A first — we need to label each graph with the correct trigonometric function: sin x, cos x, or tan x.
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Graph 1 (top left):
- Starts at (0, 0)
- Goes up to peak at 90° → y = 1
- Crosses zero again at 180°
- Dips to -1 at 270°
- Returns to 0 at 360°
This is the classic shape of
y = sin x.
✔ So, Graph 1 →
y = sin x
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Graph 2 (top right):
- Starts at (0, 1)
- Goes down to 0 at 90°
- Reaches minimum (-1) at 180°
- Comes back to 0 at 270°
- Returns to 1 at 360°
This matches
y = cos x.
✔ So, Graph 2 →
y = cos x
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Graph 3 (middle left):
- Has vertical asymptotes (lines where it shoots up/down infinitely) at 90°, 270°, etc.
- Passes through origin (0,0)
- Increases sharply after 0°, then repeats every 180°
- This is the behavior of
y = tan x
✔ So, Graph 3 →
y = tan x
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Now let’s double-check:
- sin x starts at 0, goes up → yes, Graph 1
- cos x starts at 1, goes down → yes, Graph 2
- tan x has asymptotes and passes through 0 → yes, Graph 3
All match perfectly.
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Final Answer:
Graph 1: y = sin x
Graph 2: y = cos x
Graph 3: y = tan x
Parent Tip: Review the logic above to help your child master the concept of graphing trigonometric functions worksheet with answers.
