What is the maximum and minimum value of sinx COSX?

a*sinx + b*cosx, maximum & minimum value is (+,-)√[a^2+b^2]. As here a=b=1, maximum and minimum value of sinx + cosx = (+,-)√[1^2+1^2], i.e. +√2 is maximum value and -√2 is the minimum value. Originally Answered: What is Maximum and minimum value of sin x +cos x?

How do you find the maximum value of sinx?

The maximum value of sinx is 1. At x = 90°, sinx = 1. The minimum value of sinx is −1. At x = 270°, sinx = −1.

What is the range of a sine function?

The range of the sine function is from [-1, 1]. The period of the tangent function is π, whereas the period for both sine and cosine is 2π.

How do you find the maximum value of Sinx?

How do you find the extrema of Sinx COSX?

calculus

1. To find the extrema, do the First Derivative Test. y = sinx + cos x. y’= cosx – sinx. The extrema always occur when the derivative is zero, so set it equal to zero. y’ = cosx – sinx = 0. = cosx = sinx. cosx/cosx = sinx/cosx. 1 = tanx. x = pi/4, 5pi/4. Make a sign chart…
2. C=.05x^3+100. anonymous. Nov 19, 2007.

What is range of sin?

−1≤y≤1
The graph of the sine function looks like this: Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 .

What is the range of SiNx + cosx + 3?

Remember the range of sinx + cosx varies between -√2 and √2 . √2 + 3 <= sinx + cosx + 3 <= √2 + 3. Sin x + Cos x can be written as √2×Sin (x+45°) and since a sine function has a range of -1 to 1, therefore range of the above function will be -√2 to √2.

What is the range of f(x) = cos x – sin x?

The range of f (x) = cos x – sin x is (1) [-1, 1] (2) (-1, 2) (3) [-π / 2, π / 2] (4) (-√2, √2) Solution: (4) f (x) = cos x – sin x = √2 [cosx (1 / √2) – sinx (1 / √2)]

What is the domain of SiNx and cosx?

Domain : Domain of the function f (x) will be the intersection of domains of sinx and cosx. As the domain of sinx as well as cosx is (-∞,∞), thus the domain of the funtion f (x) will the the intersection of the two domains which comes out to be (-∞,∞) that is, that x can take any real value ranging from -∞ to +∞. Therefore, the domain is (-∞,+∞).

What is the intersection of SiNx and cosx?

Domain : Domain of the function f(x) will be the intersection of domains of sinx and cosx. As the domain of sinx as well as cosx is (-∞,∞), thus the domain of the funtion f(x) will the the intersection of the two domains which comes out to be…