Discover the Derivative of Sin x with Respect to x: An Essential Guide for Trigonometry Students

𝑑/𝑑𝑥[sin 𝑥]

To find the derivative of sin x with respect to x, we can use the basic derivative formula for trigonometric functions

To find the derivative of sin x with respect to x, we can use the basic derivative formula for trigonometric functions.

The derivative of sin x with respect to x can be found as follows:

Step 1: Recall the derivative formulas for trigonometric functions:
– The derivative of sin x is cos x.
– The derivative of cos x is -sin x.

Step 2: Determine the derivative of sin x with respect to x:
Using the derivative formula for sin x, we have:
d/dx[sin x] = cos x

Therefore, the derivative of sin x with respect to x is cos x.

In summary:
The derivative of sin x with respect to x is cos x.

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