Quick Answer: What Does A Sine Curve Look Like?

What does a negative sine graph look like?

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.

See how the curve appears to be growing in height in the y direction..

How do you find the maximum and minimum of a sine function?

The maximum value of the function is M = A + |B|. This maximum value occurs whenever sin x = 1 or cos x = 1. The minimum value of the function is m = A ‐ |B|. This minimum occurs whenever sin x = −1 or cos x = −1.

How do you find the maximum value?

The second way to determine the maximum value is using the equation y = ax2 + bx + c.If your equation is in the form ax2 + bx + c, you can find the maximum by using the equation:max = c – (b2 / 4a).The first step is to determine whether your equation gives a maximum or minimum. … -x2 + 4x – 2.More items…

What is the maximum value of tan theta?

the maximum value of tan theta is infinity. tan θ does not have any maximum or minimum values. tan θ = 1 when θ = 45 ˚ and 225˚ .

What is CSC of an angle?

In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. The abbreviation is csc. csc θ = hypotenuse / opposite. It is not commonly used, and is equal to 1/sine.

Is sin 1 the same as CSC?

Sine of an angle is the side of the triangle that does not touch the angle divided by the hypotenuse. … cosecant is the reciprical of the sin function or 1/sin(x) so that csc(x)*sin(x) = 1 when it is defined. The two can be confused since arcsin(x) is often denoted as sin^-1(x) and x^-1 is 1/x.

What is the difference between a sine and cosine wave?

A cosine wave and its corresponding sine wave have the same frequency, but the cosine wave leads the sine wave by 90 degrees of phase . In most practical situations, a lone cosine wave is the same as a lone sine wave; phase generally has meaning only when two or more waves having identical frequencies are compared.

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.

How do you find the sine curve?

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.

How do you know if the graph is sin or cos?

The graph of the cosine is the darker curve; note how it’s shifted to the left of the sine curve. … For example, cosθ = sin (90° – θ) means that if θ is equal to 25 degrees, then cos 25° = sin (90° – 25°) = sin 65°.

At what angle is sin?

The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse)….Special values.x in degreessin x90°1180°0270°-1360°03 more columns

How is sin calculated?

In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse. Try this Drag any vertex of the triangle and see how the sine of A and C are calculated. The sine function, along with cosine and tangent, is one of the three most common trigonometric functions.