Sketch the graph of each equation from $x = 0$ to $x = 2\pi$. Create a table of values and graph for each equation using increments of $\frac{\pi}{4}$ for $x$. a. $y_1 = 3 \sin x$
Added by Richard R.
Close
Step 1
To create a table of values, we can start by plugging in values of x from 0 to Zr, with increments of n/4. Let's assume Zr = 2π for simplicity. x = 0: Y1 = 3sin(0) = 0 x = π/4: Y1 = 3sin(π/4) ≈ 2.121 x = π/2: Y1 = 3sin(π/2) = 3 x = 3π/4: Y1 = 3sin(3π/4) ≈ 2.121 x Show more…
Show all steps
Your feedback will help us improve your experience
Rashmi Prakash and 59 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Make a table of values using multiples of $\pi / 4$ for $x$. Then use the entries in the table to sketch the graph of each function for $x$ between 0 and $2 \pi.$ $y=\sin x$
Graphing and Inverse Functions
Basic Graphs
Graph each of the following from $x=0$ to $x=4 \pi$.$$y=4 \sin ^{2} \frac{x}{2}$$
Identities and Formulas
Half-Angle Formulas
Graph each of the following from $x=0$ to $x=2 \pi$. $$y=2 \cos 4 x \cos x+2 \sin 4 x \sin x$$
Sum and Difference Formulas
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD