 # What Is The Maximum Value Of Sin?

## How do you find the maximum value?

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).

If you have the equation y = a(x-h)2 + k and the a term is negative, then the maximum value is k..

## What is the maximum value of 5 Sinθ 12 Cosθ?

The greatest value of the function: (-5sinθ+12cosθ) Solution : We know that maximum value of asinθ+bcosθ is √a2+b2. ∴ Maximum value =√-52+132=√25+144=√169=13.

## What is the maximum value of 16 sin theta 12 sin squared theta?

Since (3t – 2)² is a square number and is always zero or positive, the value of y will be maximum when 3t – 2 = 0 and maximum value is 4.

## What is the generic formula of maximum value if?

To get a maximum value based on criteria, you can use the MAX function together with the IF function in an array formula. In the example shown, the formula in cell G6 is: { = MAX ( IF ( names = F6 , times )) } Where names is the named range B6:B17,…

## What is the maximum value of sin 2x?

The answer is 1. so, we can see clearly that the maximum value of sin2x = 1. Hope it helps you. sin(x) will always equal 0, 1, or something in-between.

## What is the highest value of sin 3 Theta?

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.

## What is the minimum value of Sina 0 A 90?

Sin is a trigonometeric function which can take value in the interval [-1,1] . Hence minimum value is -1.

## How do you find the maximum value 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.

## What is the largest value of sin 3θ?

Maximum value of sin5θ is 1.

## What is the maximum value of Sinx COSX?

cosx is. At π4, f(x) is maximum and π4 is point of maxima.

## What is the value of sin θ?

θsin θcos θ0°0190°10180°0−1270°−101 more row

## What is the maximum and minimum value of sin theta?

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.

## Is the value of sin 60?

The exact value of sin(60°) sin ( 60 ° ) is √32 .

## How do you calculate sin 3 Theta?

sin3θ=sin(θ+2θ)=sinθcos(2θ)+sin(2θ)cosθ.

## What are the maximum and minimum values of a function?

A function f has a local maximum at c if there exists an open interval I containing c such that I is contained in the domain of f and f(c)≥f(x) for all x∈I. A function f has a local minimum at c if there exists an open interval I containing c such that I is contained in the domain of f and f(c)≤f(x) for all x∈I.