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MA✨ Amazing property of sine and cosine function 🤯🍎💡🚀🕳️ by maths_expansion
#amazing #sine #cosine #sqaure #animation #mathematics #visualization #calculus #trigonometry #graph #reelboost #instagramreels #reels
@math_expansion
#Sine Function Properties
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THPerceive the sine function. Structure your mind.
#Mathematics #Trigonometry #Sine#MathematicalFunction #Animations #LearnMath#Enlightenment #Spirituality
@thebhaktimathguru
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MAThe sine function is one of the most important periodic functions in mathematics, used to model repeating behavior such as waves, oscillations, sound, light, and circular motion. At its core, the sine function takes an input value and produces an output that smoothly rises and falls between −1 and 1 in a repeating pattern. This repeating nature is what makes sine so powerful for describing cycles. The basic sine function repeats its shape every fixed interval, called its period, and this period determines how stretched out or compressed the wave looks along the horizontal axis.
When the input of the sine function is multiplied by a number a, the frequency of the wave changes. For sin(2a x), the wave oscillates twice as fast as sin(a x), meaning it completes twice as many cycles over the same horizontal distance; this is called a horizontal compression. In contrast, sin(a/2 x) oscillates more slowly than sin(a x), completing only half as many cycles over the same interval, which is a horizontal stretch. Importantly, all three functions still reach the same maximum and minimum values; only how quickly they repeat changes. So, sin(2a x) looks tighter and more rapid, sin(a x) is the middle case, and sin(a/2 x) appears wider and more spread out.
Like this video and follow @mathswithmuza for more!
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@mathswithmuza
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MA📌 Sine function or wave dance ✨ By math expansion
➡️ (a.sin(nx) + b) In This video we put the value of a,b,n one by one and see the sine wave is change its shape
🎦 created by :- math expansion
🍎 Created in manim
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@math_expansion
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EESines and cosines of several angles
#math #trigonometry #sfs #viral
@eeanimation
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MISIN AND COS - MADE EASY
🌟 Sine (sin) and Cosine (cos)
They are functions in trigonometry that relate angles to the sides of a right triangle.
Sine (sin θ): ratio of the opposite side to the hypotenuse.
👉 sin θ = opposite / hypotenuse
Cosine (cos θ): ratio of the adjacent side to the hypotenuse.
👉 cos θ = adjacent / hypotenuse
For example, if you have a right triangle with an angle θ:
The sin θ tells you how "tall" the triangle is compared to its slant side.
The cos θ tells you how "wide" the triangle is compared to its slant side.
And the hand trick (shown in your image) is just a memory shortcut for values at special angles (0°, 30°, 45°, 60°, 90°).
#TrigonometryMadeEasy
#MathsTrick
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@mitihani_popote
191.8K
MA🌊✨ The sine function — the smooth wave that rules the world! 🔢📈 From music to light, from tides to electronics, sine is everywhere. 🎵🌍 It models oscillation, rhythm, and harmony in the purest way. 🔄💡 Simple in shape, infinite in power — sine connects circles, time, and space. Drop a 🌊 if this wave moves you! 👇
🌊✨ La fonction sinus — l’onde fluide qui régit le monde ! 🔢📈 De la musique à la lumière, des marées à l’électronique, le sinus est partout. 🎵🌍 Il modélise les oscillations, les rythmes et l’harmonie avec une simplicité élégante. 🔄💡 Simple dans sa forme, immense dans ses applications — le sinus relie le cercle, le temps et l’espace. Mets un 🌊 si cette onde te fait vibrer ! 👇
@maths_learning_._
58.1K
UNA trigonometry table lists the values of trigonometric functions (sine, cosine, tangent, etc.) for various angles. These tables are useful for solving problems in mathematics, physics, and engineering, especially those involving triangles and periodic functions.
𝐭𝐫𝐢𝐜𝐤:-
we can find their value, it is a simple trick.
1)You have to make a table like this or you have to write 0,1,2,3,4 or divide all the numbers with four.And then put squareroot on these numbers. From this we get the value of 𝒔𝒊𝒏 𝒕𝒉𝒆𝒕𝒂 .
2) now if we write these values from opposite side , then we get the value of𝐜𝐨𝐬 𝐭𝐡𝐞𝐭𝐚 .
3) WKT,𝐭𝐚𝐧 𝐭𝐡𝐞𝐭𝐚 is the ratio of sine theta and cos theta .
4) if we write the value of tan theta from opposite side , then we get the value of 𝐜𝐨𝐭 𝐭𝐡𝐞𝐭𝐚. (Bcz WKT. Cot theta is the reciprocal of tan theta).
5) if we reciprocal all the value of cos theta , then we get the value of 𝐬𝐞𝐜 𝐭𝐡𝐞𝐭𝐚 .
6) And then if we write the value of sec theta from opposite side, we get the value of 𝐜𝐨𝐬𝐞𝐜 𝐭𝐡𝐞𝐭𝐚.📚
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@unlock_math_potential
50.1K
BRSine function anatomy #maths #mathematics #math #trig #trigonometry
@brzezinski_math
74.1K
PHLet’s explore the relationship between the unit circle and the sine function!
As we move along the arc of the unit circle, starting at coordinate (1,0), our x and y positions change.
Sin(θ) can be thought of as the y coordinate as we move along the unit circle. The point moves around the circle, generating a real-time graph of sin(θ).
Dash lines connect the circle to the graph, highlighting the movement in the Cartesian plane.
Updated values of sin(θ) and the angle theta in degrees are displayed dynamically.
Visualize trigonometry in a unique way!
🔥 Follow 👉 @physic.fun
Cre: @fourierborel
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#math #mathskills #mathproblems #trigonometry #sine #cosine #algebra
@physic.fun
1.7M
MATo understand the unit circle, the sine and cosine functions, and why cos²(x) + sin²(x) = 1 🤓
#math
#mathematics
#matematik
@mathteacherziya
4.9K
DYThe sine function is one of the most important periodic functions in mathematics, used to model repeating behavior such as waves, oscillations, sound, light, and circular motion. At its core, the sine function takes an input value and produces an output that smoothly rises and falls between −1 and 1 in a repeating pattern. This repeating nature is what makes sine so powerful for describing cycles. The basic sine function repeats its shape every fixed interval, called its period, and this period determines how stretched out or compressed the wave looks along the horizontal axis.
When the input of the sine function is multiplied by a number a, the frequency of the wave changes. For sin(2a x), the wave oscillates twice as fast as sin(a x), meaning it completes twice as many cycles over the same horizontal distance; this is called a horizontal compression. In contrast, sin(a/2 x) oscillates more slowly than sin(a x), completing only half as many cycles over the same interval, which is a horizontal stretch. Importantly, all three functions still reach the same maximum and minimum values; only how quickly they repeat changes. So, sin(2a x) looks tighter and more rapid, sin(a x) is the middle case, and sin(a/2 x) appears wider and more spread out.
#sine #trigonometry #circles #math #mathematics
@dybydx.ai
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