QuizePrecalculus Solver with Steps
A free precalc solver that shows its work. Type, paste or snap any function, log, trig or unit circle problem, and see every rule and the exact answer. Then solve the next one yourself.
- 10free answers a day
- Exactanswers with π and √
- Trigand the unit circle
Updated
Solve a precalculus question
Type it, paste it, or upload a photo. You get the answer, every step, and the idea behind it.
What is a precalculus solver?
A precalculus solver works out precalc problems and explains each step. QuizeGpt is an AI precalculus solver that goes further: it names the rule behind every step, keeps the answer exact, and checks it against the domain. You learn the method, not just the number.
- Type a problem, paste a screenshot, or snap a picture of a graph.
- Get the exact answer with each step and rule, in plain words.
- Ask a follow-up if a step doesn't make sense.
What the precalculus problem solver can do
From functions and logs to trig and conics, here's what this precalculus problem solver handles, and how it explains each one.
| Precalculus topic | What you get |
|---|---|
| Functions and graphs | Domain, range, transformations, and composite and inverse functions. |
| Polynomial and rational functions | Zeros, end behavior, and vertical and horizontal asymptotes. |
| Exponents and logarithms | Log rules, solving exponential and log equations, and growth and decay. |
| Trigonometry | Right-triangle trig, the law of sines and the law of cosines. |
| The unit circle | Exact sine, cosine and tangent values, in degrees or radians. |
| Trig identities and equations | Proves identities step by step and finds every solution in an interval. |
| Sequences and series | Arithmetic and geometric sequences, sums, and sigma notation. |
| Vectors and polar coordinates | Magnitude, direction, dot product, and switching to polar form. |
| Conic sections | Circles, parabolas, ellipses and hyperbolas from their equations. |
Precalculus solver with steps: worked examples
This is what you get. Each step names the rule and keeps the answer exact.
Solve log₂(x) + log₂(x − 2) = 3.
- Product rule: log₂(x(x − 2)) = 3, so x(x − 2) = 2³ = 8.
- x² − 2x − 8 = 0 factors to (x − 4)(x + 2) = 0, so x = 4 or x = −2.
- Check: x = −2 would put a negative inside the log, so throw it out.
Answer: x = 4
Find the asymptotes of f(x) = (2x + 1) ÷ (x − 3).
- Vertical: the bottom is 0 at x = 3, and the top isn't, so x = 3.
- Horizontal: the top and bottom have the same degree.
- So use the leading numbers: 2 ÷ 1 = 2.
Answer: x = 3 and y = 2
You invest $1,000 at 5% interest, compounded yearly. How much is there after 10 years?
- Compound interest: A = P(1 + r)ᵗ.
- A = 1,000 × (1.05)¹⁰.
- (1.05)¹⁰ ≈ 1.62889, so A ≈ 1,628.89.
Answer: About $1,628.89
Solve 2 sin x − 1 = 0 for 0 ≤ x < 2π.
- Get sin x alone: sin x = 1/2.
- Sine is 1/2 at π/6 in Quadrant I.
- Sine is also positive in Quadrant II: π − π/6 = 5π/6.
Answer: x = π/6 and 5π/6
Try it without signing in
Pick a sample problem, then drag a box over it to snap it, just like the Chrome extension does on your homework page.
What is the exact value of sin(π/6)?
- 1/2
- √3/2
- √2/2
- 1
Drag a box over the question, just like in the extension. On a phone, tap it. Or press Snap & solve.
- π/6 is 30°.
- On the unit circle, the point at 30° is (√3/2, 1/2).
- Sine is the y-value, so sin(π/6) = 1/2.
What is log₃(81)?
- 4
- 27
- 3
- 243
Drag a box over the question, just like in the extension. On a phone, tap it. Or press Snap & solve.
- log₃(81) asks: 3 to what power is 81?
- 3⁴ = 3 × 3 × 3 × 3 = 81.
- So log₃(81) = 4.
f(x) = x² + 1 and g(x) = 2x. Find f(g(3)).
- 37
- 20
- 16
- 60
Drag a box over the question, just like in the extension. On a phone, tap it. Or press Snap & solve.
- Work from the inside out: g(3) = 2 × 3 = 6.
- Now put 6 into f: f(6) = 6² + 1.
- f(6) = 36 + 1 = 37.
Sample questions with saved answers. The extension works on any question you snap. Want the full tour? Try the interactive demo.
The unit circle: where sine and cosine come from
The unit circle has a radius of 1. Turn a line around it, and the point at the end has x = cos θ and y = sin θ. Watch the height of that point turn into the sine wave.
- At 0, the point is at (1, 0), so cos = 1 and sin = 0.
- At π/2 (90°), it's at the top, (0, 1), so sin reaches 1.
- One full turn is 2π. The height goes up, down and back, which makes one sine wave.
Values to know
- sin: 0, 1/2, √2/2, √3/2, 1 at 0, π/6, π/4, π/3, π/2.
- cos: the same list, in reverse order.
Signs by quadrant
- QI: all positive. QII: sin positive.
- QIII: tan positive. QIV: cos positive.
Trigonometry solver: identities and equations
Trig is the biggest part of precalc. The trick to most identities is to rewrite everything in sine and cosine, then use one key identity. Here's one, step by step.
Show that (1 − cos²x) ÷ sin x = sin x.
- Key identity: sin²x + cos²x = 1, so 1 − cos²x = sin²x.
- Swap it in: (1 − cos²x) ÷ sin x = sin²x ÷ sin x.
- Simplify: sin²x ÷ sin x = sin x, as long as sin x ≠ 0.
Result: both sides equal sin x ✓
Identities that come up most
- Pythagorean: sin²x + cos²x = 1
- Quotient: tan x = sin x ÷ cos x
- Double angle: sin 2x = 2 sin x cos x
Precalc calculator vs a precalculus solver
A graphing calculator is great for checking. But it gives you a decimal, not the reason. Here's the difference on cos(π/6).
🧮 A precalc calculator
- Shows 0.8660254.
- No steps, and no exact value.
- Gives a wrong answer if it's in the wrong mode (degrees vs radians).
✓ The precalculus solver
- Gives √3/2, the exact value most teachers want.
- Shows why: π/6 is 30°, and the point is (√3/2, 1/2).
- Says whether it's using degrees or radians.
How to solve precalculus problems, step by step
Whether you use a solver or not, this five-step method works on most precalc problems.
- Step 1
Name the topic
Is it a log, a trig equation, a rational function or a sequence? That picks the rules.
- Step 2
Write the rule
Put the identity, log rule or formula down first, before any numbers.
- Step 3
Work it exactly
Keep fractions, square roots and π. Only round at the very end.
- Step 4
Check the domain
Logs need positive inputs, and you can't divide by 0. Throw out bad answers.
- Step 5
Check the answer
Plug it back in. For trig, make sure you found every angle in the interval.
How to check a precalculus answer
Any tool can slip, and so can you. These quick checks catch most mistakes, and they're good habits for the test.
Plug it back in
Put your answer into the original equation. Both sides should match.
Check the domain
No logs of 0 or negatives, no dividing by 0, and no square roots of negatives.
Is it in range?
Sine and cosine are always between −1 and 1. An answer of 1.5 is wrong.
Common precalculus mistakes to avoid
Keeping a bad log answer
Every log answer needs checking. A negative inside a log means throw it out.
Degrees vs radians
Check the mode. sin(30) in radians is not 1/2.
Mixing up f(g(x))
Work from the inside out. f(g(x)) and g(f(x)) are usually different.
Splitting sine
sin(a + b) is not sin a + sin b. Use the sum formula instead.
Precalculus homework help on any page
The QuizeGpt Chrome extension is precalculus homework help for the page you're on, from ALEKS and MyLab to WebAssign, Edmentum and your textbook PDF. Press Ctrl/⌘+Shift+U, drag a box around the problem, and the steps show up in a side panel.
✓ Great for
- Homework where help is allowed.
- ALEKS trig and other learning topics.
- Review after you submit, before the test.
✕ Not for
- Tests and quizzes that count. Keep it closed.
- ALEKS Knowledge Checks and proctored exams.
Still shaky on the basics? Start with the algebra solver. Doing right-triangle trig? The geometry solver covers triangles. Ready for the next course? Try the calculus solver. Doing precalc online? See how QuizeGpt explains ALEKS precalculus and trig topics. Test soon? Read why testing yourself works.
Is the precalculus solver free?
Yes. You get 10 free answers a day. Upgrade only if you need more.
Plus
$7.99 / month
Billed monthly. Also $4.99 a week, $29.99 a semester, or $59.99 a year.
- Unlimited answers (fair use)
- Full step-by-step explanations
- Checked answers for harder questions
✓ Cancel anytime. 7-day money-back guarantee on your first payment.
Precalc help: QuizeGpt vs other tools
Thinking of other apps for precalculus? Here's how they stack up.
QuizeGpt vs Quizlet
Quizlet helps you memorize. QuizeGpt explains any question you snap.
- Solves any question
- QuizeGpt: Yes — any page, PDF, or imageQuizlet: Limited
- Step-by-step help
- QuizeGpt: Yes, with confidence levelQuizlet: No
- Free plan
- QuizeGpt: Yes — 10 answers/dayQuizlet: Yes (with upsells)
QuizeGpt vs SnapGPT
Both snap a question. QuizeGpt is built to help you learn it.
- Shows how sure it is
- QuizeGpt: YesSnapGPT: Not highlighted
- Hints and why it's wrong
- QuizeGpt: YesSnapGPT: Varies
- Stays off graded tests
- QuizeGpt: Yes — by designSnapGPT: Not stated
QuizeGpt vs Chegg
Chegg has a big bank of answers. QuizeGpt explains your exact question in seconds.
- Speed
- QuizeGpt: SecondsChegg: Minutes to hours (expert Q&A)
- Works on any site
- QuizeGpt: YesChegg: No — its own site/app
- Free plan
- QuizeGpt: Yes — 10 answers/dayChegg: Limited / trial
Precalculus solver FAQ
Is there a free precalculus solver?
Yes. QuizeGpt is a free precalculus solver with steps. You get 10 answers a day for free, each with every step, the rule behind it and an exact answer. No card is needed.
Is it a precalc calculator?
It does what a precalc calculator does, and more. A calculator gives you a decimal. QuizeGpt gives the exact answer, like √3/2 or 25π, and shows each step so you can do it yourself.
What precalculus problems can it solve?
Functions, graphs, polynomial and rational functions, exponents, logarithms, trigonometry, the unit circle, trig identities and equations, sequences, series, vectors, polar coordinates and conic sections.
Is it a trigonometry solver too?
Yes. It finds exact trig values, proves identities, solves trig equations on an interval, and uses the law of sines and the law of cosines, with every step shown.
Does it give exact answers?
Yes. It keeps fractions, square roots and π, like −1/2 or √2/2, and adds a decimal when that helps.
Does it work in degrees and radians?
Yes. It says which one it's using and can switch between them. To change degrees to radians, multiply by π/180.
Can it read a graph?
Yes. Snap a graph and it reads the function from it. It can also describe a graph for you: the intercepts, asymptotes, end behavior, and where the function goes up or down.
Does it work for ALEKS precalculus and trigonometry?
Yes, for ALEKS learning topics. Knowledge Checks are off limits. They tell ALEKS what you really know.
Is precalculus the same as calculus?
No. Precalculus gets you ready for calculus with functions, logs and trig. Calculus adds limits, derivatives and integrals. For those, use the calculus solver.
How accurate are the answers?
Like any AI tool, it can slip, so it shows every step for you to check. Plug your answer back in, and make sure it fits the domain.
Can it help with my precalculus homework?
Yes. It's precalculus homework help that shows how to solve each problem. Use the steps to learn the pattern, then try the next one yourself. That's what helps on the test.
Can I use it on a precalculus test?
No. Keep QuizeGpt closed on tests, quizzes that count, and proctored exams. Use it for homework you're allowed help on, practice problems, and review after you submit.
More step by step solvers
Get unstuck in precalculus, free
Solve any function, log, trig or unit circle problem with every step and exact answer shown. 10 answers a day, no card needed.
Solve a precalc problem