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what are the minimum and maximum values that sin a can have

by Dr. Bert Dietrich Published 3 years ago Updated 2 years ago

For a sine function the minimum value is -1 and maximum value is 1. So maximum is 2 at -3π/2 and π/2 and m inimum is -2 at π/2 and 3π/2. So zeroes are 0, ± π, ± 2π. For a cosine function the minimum value is -1 and maximum value is 1. So maximum is 3 at 0 and 2π and minimum is -3 at π. So zeroes are ±π/2, ±3π/2.

The sine function
sine function
The cosine function is the x coordinates of the unit circle and the sine function is the y coordinates. Since the unit circle has radius one and is centered at the origin, both sine and cosine oscillate between positive and negative one.
https://flexbooks.ck12.org › cbook › section › primary › lesson
ranges between -1 and 1, so the minimum is -1 and the maximum is 1.
Feb 18, 2016

Full Answer

What is the minimum and maximum value of sin 4?

Minimum value = (1/2) n The maximum value can go up to infinity. Example: Find the minimum value of sin 4 ɸ cos 4 ɸ Minimum value = (1/2) 4 = 1/16

What is the maximum and minimum value of Sine and cosine?

For a sine function the minimum value is -1 and maximum value is 1. So maximum is 2 at -3π/2 and π/2 and m inimum is -2 at π/2 and 3π/2. So zeroes are 0, ± π, ± 2π. For a cosine function the minimum value is -1 and maximum value is 1. So maximum is 3 at 0 and 2π and minimum is -3 at π.

How many maximum and minimum values can a function have?

A function f (x) can have more that one local minimum and local maximum value. Global or absolute maximum is the greatest value of the function. A function f (x) can have only one absolute maximum and absolute minimum value.

What is the maximum value of (sin x + cos x)?

What is the maximum value of (sin x +cos x) if the value of x is between 0 degrees and 90 degrees? Use Maxima/Minima theorem. Between range 0 <= x <= 90 degrees, it will be at x = 45 degrees. In order to find whether there is maxima or minima at x = 45 degrees, do double differentiation.

What is the maximum and minimum value of sin?

sin θ = 0 when θ = 0 ˚ , 180˚ , 360˚ . Maximum value of sin θ is 1 when θ = 90 ˚. Minimum value of sin θ is –1 when θ = 270 ˚.

What is the maximum possible value of sin?

Maximum value of sin A is 1 when A = 90 degrees. Where A be any angle of function. Read more about the sine function.

What is the range of sin values?

[-1,1]The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1].

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

These two functions have minimum and maximum values as defined by the following formulas. 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|.

What is the minimum value of sin a 0 Less than a less than 90?

Hence, the minimum value of sin A is 0 at A= 0°.

Does sin repeat every 180?

As indicated in the answer below, the sine and cosine repeat every 360∘, and the tangent repeats every 180∘. These are called the periods of these functions.

What is the domain and range of sine function?

In the sine function, the domain is all real numbers and the range is -1 to 1. This has the same domain and range as the last graph.

What is the range of the sine function quizlet?

The Range of the Sine Function is what? All real numbers from -1 to 1, inclusive. You just studied 63 terms!

How to calculate minimum and maximum value of a function

Before we discuss about global minimum and global maximum values, let’s discuss first how to calculate minimum and maximum value?

Steps to calculate maxima and minima of a function

Differentiate function f (x) and find value of x=a such that f’ (a) = 0

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