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Unit Circle Shows Sine and Cosine Waves

Unit Circle Shows Sine and Cosine Waves

A dark‑background animation illustrates how a point rotating on the unit circle generates the sine and cosine graphs. The horizontal coordinate traces the cosine curve while the vertical coordinate traces the sine curve. Projections, angle arc, and key angle pauses highlight exact values, ending with a summary of the relationship between the circle and the waveforms.

unit-circlesinecosinetrigonometry
Muhammad OwaisMuhammad Owais
Circular Motion Reveals the Sine Wave

Circular Motion Reveals the Sine Wave

A point moves uniformly around a unit circle while its vertical position is plotted as a growing sine wave. A connecting line and moving dot show the instant correspondence between the circle's y‑coordinate and the wave height, highlighting the relationship y equals sine of the angle.

trigonometrygeometrycalculus
edwart david piñeros garnicaedwart david piñeros garnica
Short Multiplication Formulas Explained

Short Multiplication Formulas Explained

A brief visual guide that introduces the four basic multiplication identities—square of a sum, square of a difference, difference of squares, and cube of a sum. Each formula is shown with its name, then expanded step by step by opening brackets and highlighting each term, using color cues. The animation ends with all formulas fading out.

algebraidentitiesmath-animations
Зюзин ЕгорЗюзин Егор
Brain Health Effects of Porn and Masturbation
Биология

Brain Health Effects of Porn and Masturbation

The animation shows a brain cross‑section where excessive pornography and compulsive masturbation cause hippocampal shrinkage and reduced testosterone. A looping arrow illustrates the addiction feedback cycle, then a recovery arrow demonstrates how exercise, sleep, and mindfulness can restore hippocampal size and hormone levels. The short video ends with a key message linking healthy habits to a healthier brain.

brain-healthaddictionrecoveryneuroscience
Al KhalidAl Khalid
Six Number Theory Patterns for Class 10

Six Number Theory Patterns for Class 10

The animation walks through six key patterns from a Class 10 curriculum: prime factorisation and the fundamental theorem of arithmetic, distinguishing highest common factor and least common multiple in word problems, last‑digit rules for powers ending in zero or five, proofs of irrationality for square roots of primes and for expressions of the form x plus or minus y times a square root, and a demonstration that a certain expanded algebraic form is always composite.

number-theoryclass-10arithmeticirrationalityproofs
ajay singhajay singh
Unit Circle Motion Traces a Sine Wave

Unit Circle Motion Traces a Sine Wave

A point moves counter‑clockwise around a unit circle while its vertical coordinate is plotted in real time on a separate axis, drawing one full period of the sine curve. The animation shows that the sine of an angle equals the y‑coordinate of the corresponding point on the unit circle.

trigonometryunit-circlesine-wave
Deenesh TheArtistDeenesh TheArtist
From Law of Cosines to Stewart's Theorem
Математика

From Law of Cosines to Stewart's Theorem

A short visual proof shows the law of cosines for a triangle, then places a point on a side to create two sub‑triangles. Applying the cosine rule to each sub‑triangle and eliminating the cosine term yields Stewart's theorem, presented as a compact formula at the end.

geometrylaw-of-cosinesstewarts-theoremtriangleproof
Understand KidUnderstand Kid
Adding and Subtracting Fractions with Mixed Numbers

Adding and Subtracting Fractions with Mixed Numbers

A short visual guide that demonstrates how to add and subtract ordinary fractions and mixed numbers. It shows aligning denominators, performing numerator operations, simplifying results, and converting between mixed and improper forms, ending with a concise flowchart of the key steps.

fractionsarithmeticmixed-numbersmath-visualization
rumahtangga temonrumahtangga temon
Finding Area Under a Parabola

Finding Area Under a Parabola

Step by step walkthrough solves the quadratic equation to locate the intersection points, sets up the definite integral from negative four to four, computes the antiderivative, applies the limits, simplifies the result and presents the exact area as 256 divided by 3, approximately 85.33 square centimeters.

calculusintegrationdefinite-integralquadratic-equation
Umie ShahieraUmie Shahiera
Table of Slice Areas with Total Sum

Table of Slice Areas with Total Sum

A dark‑background animation shows a scaled table of eight steps, each listing median position, height, width and computed slice area. The table fades in with white grid lines, then a right‑aligned label displaying the summed area of 85.6 square centimeters appears below. The view holds briefly for readability.

tablesarea-calculation
Umie ShahieraUmie Shahiera
Complex Conjugates: Algebraic and Geometric Properties

Complex Conjugates: Algebraic and Geometric Properties

The animation proves that taking the complex conjugate distributes over addition and multiplication, shows the geometric reflection of a complex number across the real axis on the Argand plane, and presents related identities such as double conjugation and realness of a plus its conjugate. Viewers see step‑by‑step algebraic expansions, highlighted results, and a challenge to prove the difference property.

complex-numbersalgebrageometry
liam slaterliam slater
Solving Linear Equations for Bottle Sales

Solving Linear Equations for Bottle Sales

A step‑by‑step animation shows how to translate June and July bottle sales word problems into two linear equations, substitute variables, and solve for the number of small and large bottles sold each month. It highlights the algebraic process and presents the final counts for both months.

linear-equationsalgebraword-problemseducation
Bunker verseBunker verse