MathScope vs Touch Trigonometry

MathScope turns equations into graphs you can see and play with. Type a formula and its graph appears instantly; drag a slider and watch it change. From a textbook parabola to a Klein bottle, it all renders smoothly at your fingertips. Free to download: graph y = f(x) and implicit curves, plot 3D surfaces z = f(x, y), animate parameters with sliders, mark zeros and extrema, and explore part of the gallery at no cost. Upgrade to MathScope Pro when you want the full toolkit. 2D GRAPHING • One smart input box: y = x², x² + y² = 9, r = 2sin(3θ) and (cos 3t, sin 2t) are recognized automatically as explicit, implicit, polar or parametric • Overlay several functions, each with its own color and one-tap show/hide • Parameter sliders: write a, b or k in a formula and a slider appears; tap ▶ to animate it • Analysis tools: mark zeros, extrema and intersections; long-press a curve to trace coordinates and the tangent line; show the symbolic derivative f′(x); shade a definite integral with draggable bounds • A keyboard designed for math, so input is fast and accurate 3D SPACE • Surfaces z = f(x, y), implicit surfaces F(x, y, z) = 0, parametric surfaces and space curves • C++-accelerated Marching Cubes engine generates complex implicit surfaces in seconds • Cinematic rendering: physically based materials, environment reflections, bloom, 7 color maps, wireframe mesh and auto-rotate CURATED GALLERY 50+ classic and surprising shapes: cardioid, rose curves, butterfly curve, spirograph, Fourier square wave, Taylor expansions, Mexican hat, Möbius strip, Klein bottle, trefoil knot and more. Tap one to open, edit and animate it. FAVORITES & EXPORT Save the graphs you like, with history kept automatically, and export images to share with friends. MATHSCOPE PRO Unlocks parametric and polar curves, the full 3D space, intersections / derivative / integral tools, the entire gallery, all color maps and ultra-high-resolution meshes, 4K export without watermark, and unlimited functions and favorites. • Yearly (includes a 3-day free trial) and Monthly: auto-renewing subscriptions. Payment is charged to your Apple ID account. A subscription renews automatically unless auto-renew is turned off at least 24 hours before the end of the current period. Manage or cancel anytime in your App Store account settings. • Lifetime: a one-time purchase, yours to keep. Privacy Policy: https://vaca.vip/mathscope/privacy Terms of Use: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/

Finally understand trigonometry. Touch Trigonometry is the most intuitive way to learn the trigonometric functions. Instead of memorizing formulas, you'll see how sin, cos, tan, and the rest actually work—by touching and exploring a live unit circle and graph. Drag your finger around the circle and watch trig functions respond in real time. You'll be amazed at how quickly the "true meaning" of trigonometry becomes clear. Watch the graph on the right trace their values. In seconds, concepts that confused you for years will suddenly click. This app is great for students struggling with trigonometry or anyone looking for a refresher. HOW IT WORKS On the left: an interactive unit circle. Touch anywhere and drag to change the angle θ (theta). A triangle forms showing the relationships between the angle and the trig values. On the right: live graphs of all six trig functions. As you move the angle, dots trace along each curve showing the current value. Touch the graph side to control the angle from there too. It's bidirectional, immediate, and intuitive. No tutorial needed—just touch and explore. Users have told us that they never understood *why* the trig functions existed—until they used this app. From students to the math curious, Touch Trigonometry offers a truly intuitive way to understand one of the trickiest parts of geometry—at your fingertips! FEATURES • Interactive unit circle with touch control • All 6 trig functions: sin, cos, tan, sec, csc, cot • Live function graphs with real-time value tracking • Bidirectional control (circle or graph) • Right triangle overlay showing opposite/adjacent/hypotenuse • Reference angle markers (30°, 45°, 60°, 90°, etc.) • Switch between degrees and radians • Snap-to-reference-angles mode • Pinch to zoom the graph • Colorblind-friendly color palette • Clean dark theme, no distractions • No ads, no account required WHO IT'S FOR • High school & college students learning trig • Teachers demonstrating concepts in class • Engineers & scientists refreshing fundamentals • Anyone who was told to "just memorize SOHCAHTOA" • Visual learners who need to see it to get it FREE FEATURES • Full unit circle interaction • Sine visualization • Triangle overlay • Degree/radian switching • All UI customization options UNLOCK EVERYTHING (One-Time Purchase) • One-time purchase for lifetime access to all paid features • Cosine, tangent, secant, cosecant, cotangent • All future paid features