What is the domain of log sin x?

What is the domain of log sin x?

See the domain of log(x) will be 00, this means , nπ(n+1)π , where n is 1,3,5,7….. The domain of the function is all positive real numbers except 0.

What is the domain of Sinx 3?

all real numbers
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. Find the magnitude of the trig term 3sin(x) 3 sin ( x ) by taking the absolute value of the coefficient.

What is the range of log sin x?

(−∞,0)

What is the domain of log X?

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

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What is the domain of log Cos X?

The domain of the expression is all real numbers except where the expression is undefined.

What is the range of Sinx +3?

The range is −1≤y≤1 – 1 ≤ y ≤ 1 .

What is the domain and range of 3sinx?

Explanation: The sine function is repetitive and continuous and bounded between -3 and 3 and so since domain is all possible input x values, these are all real numbers, and since range is all possible output y values, these are all real numbers between -3 and 3, both endpoints included.

What is log sine?

n. A function of an angle expressed as the ratio of two of the sides of a right triangle that contains that angle; the sine, cosine, tangent, cotangent, secant, or cosecant.

What is domain of log?

Therefore, the domain of the logarithmic function y=logbx is the set of positive real numbers and the range is the set of real numbers.

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What is domain of log function?

The domain of a logarithmic function is real numbers greater than zero, and the range is real numbers. The graph of y = logax is symmetrical to the graph of y = ax with respect to the line y = x.

What is the domain of SIN-1 [log 3(x/3)]?

The domain of sin-1[log3(x/3)] is Relations Functions The domain of sin-1 [log 3 (x/3)] is [-9, -1] [-9, 1] [-1,9] [1, 9] Answer. Domain of sin-1 x is [-1,1] Therefore, -1 ≤ log 3 (x/3) ≤ 1. 3-1 ≤ x/3 ≤ 3. 1 ≤ x ≤ 9. Therefore, the domain of sin-1 [log 3 (x/3)] is [1,9] The correct option is D.

What is the range of the log of sin x?

Although Sin x – which is the quantity under log function varies between -1 to +1, the log function will allow it to vary between 0 and 1. The possible attainable values of y is called Range. The possible values of variable x with respect to the function is called Domain.

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What is range and domain in logarithms?

The possible attainable values of y is called Range. The possible values of variable x with respect to the function is called Domain. We know, Sin x is always ranging between -1 to +1. It means the quantity under Log function now varies between -1 to +1.

What does sin x – – mean?

We know, Sin x is always ranging between -1 to +1. It means the quantity under Log function now varies between -1 to +1. But Log of a negative quantity is not possible, so we can say –