Graph y = sin (2(x - π)) + 1

Amplitude 1, period π, right π, up 1

Graph y = -cot ((x - π/2)) - 1

Period π, asymptotes every π, right π/2, down 1

Graph y = csc ((x - π)) - 2

Period 2π, nothing between -3 and -1

Graph y = 2tan (2(x - π)) - 2

Period π/2, asymptotes every π/2, right π, down 2

Graph y = csc ((x - π)) - 1

Period 2π, nothing between -2 and 0

Graph y = -2sin ((x - π)) - 1

Amplitude 2, period 2π, right π, down 1

Graph y = -tan (2(x - π)) - 2

Period π/2, asymptotes every π/2, right π, down 2

Graph y = sec (2(x - π/2)) - 2

Period π, nothing between -3 and -1

Graph y = 2tan (2x) - 1

Period π/2, asymptotes every π/2, down 1

Graph y = -csc (x) - 1

Period 2π, nothing between -2 and 0

Graph y = cos ((x - π))

Amplitude 1, period 2π, right π

Graph y = -cot ((x - π)) - 2

Period π, asymptotes every π, right π, down 2

Graph y = -csc ((x - π)) - 1

Period 2π, nothing between -2 and 0

Graph y = tan (2(x - π)) - 1

Period π/2, asymptotes every π/2, right π, down 1

Graph y = 2sec (2(x - π/2)) + 1

Period π, nothing between -1 and 3

Graph y = 2cos (2(x - π/2))

Amplitude 2, period π, right π/2

Graph y = 2tan ((x - π/2))

Period π, asymptotes every π, right π/2

Period π/2, asymptotes every π/2

Period π, nothing between -2 and 2

Worksheets · Precalculus

Graphing trig functions worksheet

Six shapes and two things to read off each one: how tall it gets and how often it repeats. The ones with asymptotes ask for those too. Once each is familiar on its own, the work is telling at a glance which of the six you are looking at.

Select your difficulty

Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Graphing Trig Functions Date Period Graph each function over one turn. Graph $y = \sin (2 (x - π)) + 1$ π/2π3π/22π42-2-40 Graph $y = - \cot ((x - \frac{π}{2})) - 1$ π/2π3π/22π42-2-40 Graph $y = \csc ((x - π)) - 2$ π/2π3π/22π53-3-50 Graph $y = - \sin (x) + 1$ π/2π3π/22π42-2-40 Graph $y = 2 \tan (2 (x - π)) - 2$ π/2π3π/22π53-3-50 Graph $y = \csc ((x - π)) - 1$ π/2π3π/22π53-3-50 Graph $y = - 2 \sin ((x - π)) - 1$ π/2π3π/22π42-2-40 Graph $y = - \tan (2 (x - π)) - 2$ π/2π3π/22π42-2-40 Graph $y = \sec (2 (x - \frac{π}{2})) - 2$ π/2π3π/22π53-3-50 Graph $y = \sin (2 x)$ π/2π3π/22π42-2-40 Graph $y = 2 \tan (2 x) - 1$ π/2π3π/22π42-2-40 Graph $y = - \csc (x) - 1$ π/2π3π/22π53-3-50 Graph $y = \cos ((x - π))$ π/2π3π/22π42-2-40 Graph $y = - \cot ((x - π)) - 2$ π/2π3π/22π42-2-40 Graph $y = - \csc ((x - π)) - 1$ π/2π3π/22π53-3-50 Graph $y = - \sin (x)$ π/2π3π/22π42-2-40 Graph $y = \tan (2 (x - π)) - 1$ π/2π3π/22π42-2-40 Graph $y = 2 \sec (2 (x - \frac{π}{2})) + 1$ π/2π3π/22π53-3-50 Graph $y = 2 \cos (2 (x - \frac{π}{2}))$ π/2π3π/22π42-2-40 Graph $y = 2 \tan ((x - \frac{π}{2}))$ π/2π3π/22π42-2-40 Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Graphing Trig Functions

Date Period

Graph each function over one turn.

Graph $y = \sin (2 (x - π)) + 1$ π/2π3π/22π42-2-40
Graph $y = - \cot ((x - \frac{π}{2})) - 1$ π/2π3π/22π42-2-40
Graph $y = \csc ((x - π)) - 2$ π/2π3π/22π53-3-50
Graph $y = - \sin (x) + 1$ π/2π3π/22π42-2-40
Graph $y = 2 \tan (2 (x - π)) - 2$ π/2π3π/22π53-3-50
Graph $y = \csc ((x - π)) - 1$ π/2π3π/22π53-3-50
Graph $y = - 2 \sin ((x - π)) - 1$ π/2π3π/22π42-2-40
Graph $y = - \tan (2 (x - π)) - 2$ π/2π3π/22π42-2-40
Graph $y = \sec (2 (x - \frac{π}{2})) - 2$ π/2π3π/22π53-3-50
Graph $y = \sin (2 x)$ π/2π3π/22π42-2-40
Graph $y = 2 \tan (2 x) - 1$ π/2π3π/22π42-2-40
Graph $y = - \csc (x) - 1$ π/2π3π/22π53-3-50
Graph $y = \cos ((x - π))$ π/2π3π/22π42-2-40
Graph $y = - \cot ((x - π)) - 2$ π/2π3π/22π42-2-40
Graph $y = - \csc ((x - π)) - 1$ π/2π3π/22π53-3-50
Graph $y = - \sin (x)$ π/2π3π/22π42-2-40
Graph $y = \tan (2 (x - π)) - 1$ π/2π3π/22π42-2-40
Graph $y = 2 \sec (2 (x - \frac{π}{2})) + 1$ π/2π3π/22π53-3-50
Graph $y = 2 \cos (2 (x - \frac{π}{2}))$ π/2π3π/22π42-2-40
Graph $y = 2 \tan ((x - \frac{π}{2}))$ π/2π3π/22π42-2-40



Sigma Prep · sigmaprep.io/worksheets Name Graphing Trig FunctionsAnswer keyVersion 1 Date Period Graph each function over one turn. Graph $y = \sin (2 (x - π)) + 1$ π/2π3π/22π42-2-40Amplitude $1$ , period $π$ , right $π$ , up $1$ Graph $y = - \cot ((x - \frac{π}{2})) - 1$ π/2π3π/22π42-2-40Period $π$ , asymptotes every $π$ , right $\frac{π}{2}$ , down $1$ Graph $y = \csc ((x - π)) - 2$ π/2π3π/22π53-3-50Period $2 π$ , nothing between $- 3$ and $- 1$ Graph $y = - \sin (x) + 1$ π/2π3π/22π42-2-40Amplitude $1$ , period $2 π$ , up $1$ Graph $y = 2 \tan (2 (x - π)) - 2$ π/2π3π/22π53-3-50Period $\frac{π}{2}$ , asymptotes every $\frac{π}{2}$ , right $π$ , down $2$ Graph $y = \csc ((x - π)) - 1$ π/2π3π/22π53-3-50Period $2 π$ , nothing between $- 2$ and $0$ Graph $y = - 2 \sin ((x - π)) - 1$ π/2π3π/22π42-2-40Amplitude $2$ , period $2 π$ , right $π$ , down $1$ Graph $y = - \tan (2 (x - π)) - 2$ π/2π3π/22π42-2-40Period $\frac{π}{2}$ , asymptotes every $\frac{π}{2}$ , right $π$ , down $2$ Graph $y = \sec (2 (x - \frac{π}{2})) - 2$ π/2π3π/22π53-3-50Period $π$ , nothing between $- 3$ and $- 1$ Graph $y = \sin (2 x)$ π/2π3π/22π42-2-40Amplitude $1$ , period $π$ Graph $y = 2 \tan (2 x) - 1$ π/2π3π/22π42-2-40Period $\frac{π}{2}$ , asymptotes every $\frac{π}{2}$ , down $1$ Graph $y = - \csc (x) - 1$ π/2π3π/22π53-3-50Period $2 π$ , nothing between $- 2$ and $0$ Graph $y = \cos ((x - π))$ π/2π3π/22π42-2-40Amplitude $1$ , period $2 π$ , right $π$ Graph $y = - \cot ((x - π)) - 2$ π/2π3π/22π42-2-40Period $π$ , asymptotes every $π$ , right $π$ , down $2$ Graph $y = - \csc ((x - π)) - 1$ π/2π3π/22π53-3-50Period $2 π$ , nothing between $- 2$ and $0$ Graph $y = - \sin (x)$ π/2π3π/22π42-2-40Amplitude $1$ , period $2 π$ Graph $y = \tan (2 (x - π)) - 1$ π/2π3π/22π42-2-40Period $\frac{π}{2}$ , asymptotes every $\frac{π}{2}$ , right $π$ , down $1$ Graph $y = 2 \sec (2 (x - \frac{π}{2})) + 1$ π/2π3π/22π53-3-50Period $π$ , nothing between $- 1$ and $3$ Graph $y = 2 \cos (2 (x - \frac{π}{2}))$ π/2π3π/22π42-2-40Amplitude $2$ , period $π$ , right $\frac{π}{2}$ Graph $y = 2 \tan ((x - \frac{π}{2}))$ π/2π3π/22π42-2-40Period $π$ , asymptotes every $π$ , right $\frac{π}{2}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Graphing Trig FunctionsAnswer keyVersion 1

Date Period

Graph each function over one turn.

Graph $y = \sin (2 (x - π)) + 1$ π/2π3π/22π42-2-40Amplitude $1$ , period $π$ , right $π$ , up $1$
Graph $y = - \cot ((x - \frac{π}{2})) - 1$ π/2π3π/22π42-2-40Period $π$ , asymptotes every $π$ , right $\frac{π}{2}$ , down $1$
Graph $y = \csc ((x - π)) - 2$ π/2π3π/22π53-3-50Period $2 π$ , nothing between $- 3$ and $- 1$
Graph $y = - \sin (x) + 1$ π/2π3π/22π42-2-40Amplitude $1$ , period $2 π$ , up $1$
Graph $y = 2 \tan (2 (x - π)) - 2$ π/2π3π/22π53-3-50Period $\frac{π}{2}$ , asymptotes every $\frac{π}{2}$ , right $π$ , down $2$
Graph $y = \csc ((x - π)) - 1$ π/2π3π/22π53-3-50Period $2 π$ , nothing between $- 2$ and $0$
Graph $y = - 2 \sin ((x - π)) - 1$ π/2π3π/22π42-2-40Amplitude $2$ , period $2 π$ , right $π$ , down $1$
Graph $y = - \tan (2 (x - π)) - 2$ π/2π3π/22π42-2-40Period $\frac{π}{2}$ , asymptotes every $\frac{π}{2}$ , right $π$ , down $2$
Graph $y = \sec (2 (x - \frac{π}{2})) - 2$ π/2π3π/22π53-3-50Period $π$ , nothing between $- 3$ and $- 1$
Graph $y = \sin (2 x)$ π/2π3π/22π42-2-40Amplitude $1$ , period $π$
Graph $y = 2 \tan (2 x) - 1$ π/2π3π/22π42-2-40Period $\frac{π}{2}$ , asymptotes every $\frac{π}{2}$ , down $1$
Graph $y = - \csc (x) - 1$ π/2π3π/22π53-3-50Period $2 π$ , nothing between $- 2$ and $0$
Graph $y = \cos ((x - π))$ π/2π3π/22π42-2-40Amplitude $1$ , period $2 π$ , right $π$
Graph $y = - \cot ((x - π)) - 2$ π/2π3π/22π42-2-40Period $π$ , asymptotes every $π$ , right $π$ , down $2$
Graph $y = - \csc ((x - π)) - 1$ π/2π3π/22π53-3-50Period $2 π$ , nothing between $- 2$ and $0$
Graph $y = - \sin (x)$ π/2π3π/22π42-2-40Amplitude $1$ , period $2 π$
Graph $y = \tan (2 (x - π)) - 1$ π/2π3π/22π42-2-40Period $\frac{π}{2}$ , asymptotes every $\frac{π}{2}$ , right $π$ , down $1$
Graph $y = 2 \sec (2 (x - \frac{π}{2})) + 1$ π/2π3π/22π53-3-50Period $π$ , nothing between $- 1$ and $3$
Graph $y = 2 \cos (2 (x - \frac{π}{2}))$ π/2π3π/22π42-2-40Amplitude $2$ , period $π$ , right $\frac{π}{2}$
Graph $y = 2 \tan ((x - \frac{π}{2}))$ π/2π3π/22π42-2-40Period $π$ , asymptotes every $π$ , right $\frac{π}{2}$

How to do these

Graph $y = 2 \sin (2 x)$

Sine, so it starts at the midline and rises.
The 2 in front is the amplitude, so it reaches 2 either way.
The 2 inside halves the period to pi.

The answer is Amplitude $2$ , period $π$ .

Where students go wrong

Treating them all the same way. Sine and cosine have an amplitude and no asymptotes; tangent and cotangent have asymptotes and no amplitude; secant and cosecant have both asymptotes and a band they never enter.

Also called graphing trigonometric functions, trig graphs or sine cosine tangent graphs.

What you can put on this worksheet

Sine and cosine: Graph $y = 2 \sin (2 x)$ → Amplitude $2$ , period $π$
Tangent and cotangent: Graph $y = 2 \tan (2 x)$ → Period $\frac{π}{2}$ , asymptotes every $\frac{π}{2}$
Secant and cosecant: Graph $y = 2 \sec (2 x)$ → Period $π$ , nothing between $- 2$ and $2$

Questions about these worksheets

Yes. Every graphing trig functions sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Precalculus is usually taken around 11th or 12th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the graphing trig functions questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: sine and cosine, tangent and cotangent and secant and cosecant. Tick as many as you want and set how many of each, or let it spread them evenly.

Graphing trig functions worksheet

Select your difficulty

Graphing Trig Functions

Graphing Trig FunctionsAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these graphing trig functions worksheets free?+

Do the graphing trig functions worksheets come with an answer key?+

Are these graphing trig functions worksheets printable?+

What grade are these graphing trig functions worksheets for?+

Can I get a different version of the same graphing trig functions worksheet?+

Is this a free alternative to Kuta Software for graphing trig functions?+

Can I choose how hard the graphing trig functions questions are?+

What kinds of question are on a graphing trig functions worksheet?+

What do students get wrong with graphing trig functions?+