# How do you find the maximum value of a sin graph?

## How do you find the maximum value of a sin graph?

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

What is the maximum value of the sine curve?

The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1.

Does sin have a maximum value?

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. As the point θ moves round the unit circle in either the clockwise or anticlockwise direction, the sine curve above repeats itself for every interval of 360˚.

### How do you find the maximum value in trigonometry?

Ratta-fication formulas

1. a sin θ ± b cos θ = ±√ (a2 + b2 ) { for min. use – , for max. use + }
2. a sin θ ± b sin θ = ±√ (a2 + b2 ) { for min. use – , for max. use + }
3. a cos θ ± b cos θ = ±√ (a2 + b2 ) { for min. use – , for max. use + }
4. Min. value of (sin θ cos θ)n = (½)n

What are the 5 key points of a sine graph?

The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).

How do you find the maximum value of a function on a graph?

If you have the graph, or can draw the graph, the maximum is just the y value at the vertex of the graph. If you are unable to draw a graph, there are formulas you can use to find the maximum. If you are given the formula y = ax2 + bx + c, then you can find the maximum value using the formula max = c – (b2 / 4a).

#### What is the value of sine?

The value of sine varies as the angle between the base and hypotenuse of a right-angled triangles changes. The commonly used values of the sine are: sin 0 = 0, sin π/6 = 1/2, sin π/4 = 1/√2, sin π/3 = √3/2, and sin π/2 = 1. We can determine these values using the sine formula given by, sin x = Perpendicular/Hypotenuse.

What is the range of a graph?

Definition of the domain and range When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.

What is the maximum value of a sine graph?

The diagram shows a graph of y = sin x for 0˚ ≤ x ≤ 360˚, determine the values of p, q and r. In order to answer this type of questions, you will need to remember the general properties (or shape) of a sine graph. We know that the maximum value of a sine graph is 1.

## What is the maximum and minimum value of sin θ**?

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 As the point P moves round the circle in either the clockwise or anticlockwise direction, the sine curve above repeats itself for every interval of 360˚.

How do you graph the sine function?

Let’s start with the sine function. We can create a table of values and use them to sketch a graph. (Figure) lists some of the values for the sine function on a unit circle. Plotting the points from the table and continuing along the x -axis gives the shape of the sine function. See (Figure).

What is the period of a sine graph?

Sine Graph 1 • The graph is continuous over its domain (-∞, ∞) 2 • The period is 2π. 3 • The x-intercepts occur at multiples of π • sin (-θ) = -sin (θ)#N#Cosine Graph 4 • The graph is continuous over its domain (-∞, ∞) 5 • The period is 2π. 6 • The x-intercepts occur at multiples of (2n + 1) (π/2) More