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.