Table of Contents

## Is sin Mod X differentiable?

The function ( mod sin x ) is not differentiable at the cusps, i.e. x = n pi where n is an integer.

**Is sin Mod X is a continuous function?**

The function f(x)=[sinx] is not continuous at ([x] is the greatest integer less than or equal to x)

**What is the range of the sin function?**

[-1, 1

The range of the sine function is from [-1, 1]. The period of the tangent function is π, whereas the period for both sine and cosine is 2π.

### Are sine graphs differentiable?

Theorem The function sin x is differentiable everywhere, and its derivative is cos x. At each point, the slope of the curve sin x is given by the derivative, namely cos x. Indeed, you can see that when sin x has zero slope cosine has value 0, and so on.

**Why is sinx continuous?**

with p(x),q(x) polynomials, are continuous wherever defined (so f is continuous wherever q(x) = 0). sin x = sin c, so sin x is continuous for all x. Similarly for cos x.

**How is sinx continuous?**

The function is continuous. Consider the projection , which is itself a continuous function. Then sinx is the composition of the two continuous functions and is therefore continuous as the composition of continuous functions.

## What is the formula to find Cos Mod X?

=> d (sin|x|)/dx = cos|x| * (|x|/x). This might be the answer.. Sin mod x is a composite function so we will differwntiate sin mod x as cos mod x and then mod x as mod x \\ x so the final result will be cos mod x. |x/x… |

**How do you plot a graph for a modulus function?**

Now let us plot a graph for modulus function. Let x be variable whose values lies from -3 to 3, which is the domain of the graph. So, the range of function f (x) should be always positive for all values of x, as per the definition.

**How do you find the value of y=sin|x|?**

To get y=|sinx| reflect all the parts of sinx that are below x-axis with respect to x-axis. To get y=sin|x|, remove left half of graph y=sinx (for x<=0), take the right hand part of sinx (for x>=0) and reflect it with respect to y-axis.

### What is the difference between sin^30 and sin^2x?

Sin x^2 is the “sine of (x-squared)”,so it is an ordinary sine function. Sin^2 x is “sine-squared of x” which is a different function from the sine function. i.e. sin^ 30 = (sin 30)^2 = 1/2……it is a chain function of “sine of x quantity squared”, so you would solve sin x first and then take the square.