# Maximum And Minimum Values Of Trigonometric Functions Pdf

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Published: 25.03.2021

*This is a guest article by Mr. Dipak Singh.*

- Trigonometry Tricks – 4 [Maximum and Minimum Values]
- Maxima and Minima with Trigonometric Functions
- Trigonometry-Minimum Maximum Values

What's New? As we have seen questions was generally asked from this section. Many people finds it difficult to solve this types of problem.

## Trigonometry Tricks – 4 [Maximum and Minimum Values]

Explanation is then given as to how the maximum and minimum values are found from an expression written in this form together with the values of x at which these points occur. The graphical solution 1 explains how to use the graphic calculator to find the coordinates of the maximum and minimum values of the given function. The function is drawn and the coordinates of the maximum and minimum points are verified. The explanation explains how to set the axes to ensure the solutions are shown on the screen.

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## Maxima and Minima with Trigonometric Functions

But the process to find both minimum and maximum values is same. Although differentiation is a wide topic in itself, but for CGL purpose, we only have to learn the basics. Let us solve a CGL question: Q. Note that in this question, the value of a is positive, i. Sign in. Log into your account.

measure (real numbers) are called trigonometric functions. Maximum and Minimum values of the expression Acos θ + B sin θ are. 2. 2. A. B. +.

## Trigonometry-Minimum Maximum Values

Explanation is then given as to how the maximum and minimum values are found from an expression written in this form together with the values of x at which these points occur. The graphical solution 1 explains how to use the graphic calculator to find the coordinates of the maximum and minimum values of the given function. The function is drawn and the coordinates of the maximum and minimum points are verified.

The properties of the 6 trigonometric functions: sin x , cos x , tan x , cot x , sec x and csc x are discussed. These include the graph, domain, range, asymptotes if any , symmetry, x and y intercepts and maximum and minimum points. Free Mathematics Tutorials. About the author Download E-mail. Properties of Trigonometric Functions The properties of the 6 trigonometric functions: sin x , cos x , tan x , cot x , sec x and csc x are discussed.

Periodic motions can be modelled by a trigonometric equation. By differentiating these functions we are then able to solve problems relating to maxima maximums and minima minimums. Remember that the following steps are used when solving a maximum or minimum problem.

Notice the wave shape of the graph. This is called the period. Notice the similar wave shape of the graph. Notice that the two graphs look very similar. The distances between the peaks for each graph is the same.

Today well see how to find the maximum value greatest value or the minimum value least value of a trigonometric function without using differentiation. Take a pen and note-book, keep doing the steps while reading this article. First Remember following identities:. Trig-Identities 1.

But the process to find both minimum and maximum values is same. Although differentiation is a wide topic in itself, but for CGL purpose, we only have to learn the basics. Let us solve a CGL question: Q. Note that in this question, the value of a is positive, i. Sign in.

Notice the wave shape of the graph.

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