Why is the amplitude of a sine graph 1?

The amplitude a is 1. This means that the height of the graph will be 1, and the top of the first “hump” is 1. The period b has a coefficient of 1, so the period is (2π)/1, or just 2π. The phase shift c is zero, so the curve starts at the origin.

Why is tan 270 undefined?

In quadrant four, we go from 0 to 1 and are therefore still increasing. At zero degrees this tangent length will be zero. Hence, tan(0)=0. At 270 degrees we again have an undefined (und) result because we cannot divide by zero..

What are the sine and cosine of − 270?

sin(270o)=−1,cos(270o)=0,tan(270o)=−10= undefined.

What is the exact value of sin 270?

-1
The value of sin 270 degrees is -1.

What is amplitude of a sine graph?

The amplitude of the sine and cosine functions is the vertical distance between the sinusoidal axis and the maximum or minimum value of the function. In relation to sound waves, amplitude is a measure of how loud something is.

What’s the amplitude of a sine graph?

The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In other words, the amplitude is half the distance from the lowest value to the highest value.

How do you solve sin 270?

The value of sin 270 degrees can be calculated by constructing an angle of 270° with the x-axis, and then finding the coordinates of the corresponding point (0, -1) on the unit circle. The value of sin 270° is equal to the y-coordinate (-1). ∴ sin 270° = -1.

What is the maximum value of sin on a sine graph?

We know that the maximum value of a sine graph is 1. So, p = 1. We know that for a sine graph, sin θ = 0 for θ = 0˚, 180˚ and 360˚. So, θ = 180˚ We know that for a sine graph, sin θ = –1 for θ = 270˚. So, r = 270˚ Sketch the graph of y = sin 2x for 0˚ ≤ 2x ≤ 360˚. Plot the points and join with a smooth curve.

How to plot the sine function using the unit circle?

We will start with the unit circle. A unit circle is a circle of radius one unit with its center at the origin. y = sin θ is known as the sine function. Using the unit circle, we can plot the values of y against the corresponding values of θ. The graph of y = sin θ, for 0˚ ≤ θ ≤ 360˚ obtained is as shown: sin θ = 0 when θ = 0˚, 180˚, 360˚.

What is the value of sin(0) at 90 degrees?

Unit circle showing cos (0) = 1 and sin (0) = 0 Because tangent equals sine divided by cosine, tan (0) = sin (0) / cos (0) = 0 / 1 = 0. Next let’s see what happens at 90 degrees. The coordinates of the corresponding point are (0, 1). Thus, sin (90) = y = 1 and cos (90) = x = 0. The circle will look like this: Fig 5.

How does the sin graph pass through the x-axis?

The sin graph passes the x-axis as sin x = 0 there Period of the sine function is 2π The height of the curve at each point is equal to the line value of sine