Derivative of Sine

📊 beginner

$$\frac{d}{dx} \sin x = \cos x$$

The instantaneous rate of change of the sine function.

Variables & Units

$x$

Angle

Unit: Radians

Key Information

📐 Derived From

Limit definition of derivative and trig identities.

💡 Example

Finding the slope of $\sin x$ at $x = 0$.

🔧 Applications

Wave analysis and harmonic motion.

⚠️ Constraints

$x$ must be in radians.

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