# 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

- a sin θ ± b cos θ = ±√ (a2 + b2 ) { for min. use – , for max. use + }
- a sin θ ± b sin θ = ±√ (a2 + b2 ) { for min. use – , for max. use + }
- a cos θ ± b cos θ = ±√ (a2 + b2 ) { for min. use – , for max. use + }
- 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