Quick Answer: What Does A Negative Sine Graph Look Like?

What happens when sine is negative?

Both x and y coordinates are negative in the third quadrant.

Since the hypotenuse is a +1, both the sine and the cosine must be negative.

As the angle increases from 180° to 270°, the sine increases in magnitude but is now negative, so, the sine decreases from 0 to -1..

At what angle is sine at a minimum?

Minimum value of sin θ is –1 when θ = 270 ˚. So, the range of values of sin θ is –1 ≤ sin θ ≤ 1. As the point P moves round the unit circle in either the clockwise or anticlockwise direction, the sine curve above repeats itself for every interval of 360˚.

What does B do in a sine graph?

The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

Quadrant IIIIn Quadrant III, cot ⁡ θ \displaystyle \cot{\theta} cotθ is positive, csc ⁡ θ \displaystyle \csc{\theta} cscθ and sec ⁡ θ \displaystyle \sec{\theta} secθ are negative.

Is Quadrant 4 positive or negative?

In Quadrant I, both the x– and y-coordinates are positive; in Quadrant II, the x-coordinate is negative, but the y-coordinate is positive; in Quadrant III both are negative; and in Quadrant IV, x is positive but y is negative.

Is sin even or odd?

Sine is an odd function, and cosine is an even function. You may not have come across these adjectives “odd” and “even” when applied to functions, but it’s important to know them. A function f is said to be an odd function if for any number x, f(–x) = –f(x).

The sine ratio is y/r, and the hypotenuse r is always positive. So the sine will be negative when y is negative, which happens in the third and fourth quadrants.

What does a sine graph look like?

Plot of Sine The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°). It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to −1.

What happens if amplitude is 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. To see a direct comparison between positive and negative values of a, click here.

How do you tell if a graph is sine or cosine?

Look at the graphs of the sine and cosine functions on the same coordinate axes, as shown in the following figure. The graph of the cosine is the darker curve; note how it’s shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes.

How do you convert sin into cos?

The Basic Two: Sine and Cosine(1) Memorize: sine = (opposite side) / hypotenuse. … (2) sin A = cos(90° − A) or cos(π/2 − A) cos A = sin(90° − A) or sin(π/2 − A)(3) Memorize: … (4) tangent = (opposite side) / (adjacent side)(5) Memorize: … (6) tan A = cot(90° − A) or cot(π/2 − A) … (7) sec A = csc(90° − A) or csc(π/2 − A)

Can you have a negative sine?

In the third quadrant, all x and y values will be negative, so all sine and cosine values will be negative. … The final quadrant is the fourth quadrant, and there, all x values are positive, but all y values are negative, so sine will be negative, cosine will be positive and tangent values will be negative.