What is the domain of log X?

all positive real numbers
Therefore, the domain of logx is all positive real numbers, or written symbolically it is x∈(0,∞) .

What is log of sine?

The log sine function is related to the log cosine function by. (5) and the two are equal if the range of integration for is restricted from 0 to to 0 to . SEE ALSO: Clausen’s Integral, Log Cosine Function, Log Gamma Function.

What is derivative of log X?

We know that the derivative of log x is 1/(x ln 10). By applying chain rule, the derivative of log x2 is 1/(x2) · (2x) = 2/x.

Why the derivative of a constant function is 0?

The rule for differentiating constant functions is called the constant rule. It states that the derivative of a constant function is zero; that is, since a constant function is a horizontal line, the slope, or the rate of change, of a constant function is 0.

What is the proof for sin x = sin y?

Consider the proof for the equation sin x = sin y implies x = nπ + (-1) n y , where n € Z and x and y are any real numbers. · If sin x = sin y , then sin x – sin y =0 , i.e. 2 cos (x+y)/2 sin (x-y)/2 =0

When SiNx=0 what does x equal?

When sinx=0, what does x equal? sinx is known as a periodic function that oscillates at regular intervals. It crosses the x-axis (i.e. it is 0) at x = 0,π, and 2π in the domain [0,2π], and continues to cross the x-axis at every integer multiple of π.

What is the value of sin b = 90 0?

From the figure 1, it is clear that ∠A + ∠B = 90 0 or ∠B = 90 0 – ∠A. So consider the value for sine of ∠B, i.e., sin B = sin ( 90 0 – ∠A ) = AC/AB.

Does SiNx cross the x axis?

2 Answers. sinx is known as a periodic function that oscillates at regular intervals. It crosses the x-axis (i.e. it is 0) at x = 0,π, and 2π in the domain [0,2π], and continues to cross the x-axis at every integer multiple of π.