Can the amplitude of a sine graph be negative?

Can the amplitude of a sine graph be negative?

The difference with a negative value of a however, is our sine curve now has a negative amplitude. In other words, our graphs are the same as when a was a positive value, but are now reflected across the x-axis. Notice how different values of a change the amplitude of our sine curve.

How do you know if the amplitude is positive or negative?

Amplitudes are always positive numbers (for example: 3.5, 1, 120) and are never negative (for example: -3.5, -1, -120). Amplitudes are positive because distance can only be greater than zero or equal to zero; negative distance does not exist.

What is the largest value of sin 5θ?

Maximum value of sin θ is 1 when θ = 90 ˚. Minimum value of sin θ is –1 when θ = 270 ˚. So, the range of values of sin θ is –1 ≤ sin θ ≤ 1.

What does N mean in trig?

We need to use the formula to find the general solution or some particular solution of different types of trigonometric equation. 1. If sin θ = 0 then θ = nπ, where n = zero or any integer. If sin θ = 1 then θ = (4n + 1)π2, where n = zero or any integer.

Is y tan xa function?

Graphing y = tan x Unlike the sine and cosine functions, the tangent function is π periodic. That is, if the point (x, y) lies on the graph of y = tan x so will the point (x + kπ , y) where k is any integer.

What is the range of y sin 1x?

It is important not to confuse sin−1x with (sinx)−1=1sinx; these are two completely different functions. The graph of y=sin−1x is drawn as follows. The domain of sin−1 is [−1,1] and its range is [−π2,π2].

What is CSC squared equal to?

The square of co-secant function equals to the addition of one and square of cot function is called the cosecant squared formula. It is also called as the square of cosecant function identity.

What is the period of y tan BX?

Formula for the period of y=tan(bx) can be defined as π/b. Compared to the formula for the period of y=sin(bx), it does not include the 2 in front of π. This is because in the standard position of the sin graph (or when it is y=sin(1x)), the period lasts until 2π unlike the tan graph which has a period of π.