what is the maximum value of the function sin x cos x

what is the maximum value of the function sin x cos x Maximum and Minimum Values of Sine and Cosine Functions How to find the maximum and minimum values of sine and cosine functions with different coefficients Example Find the maximum value and minimum value for the functions a y 6sin 7x b y

Learn how to determine the maximum value of the function f x sin x cos x with this tutorial Cos x cos x 1 sin x 1 sin x cos x is Q Find the absolute maximum minimum value of following function f x sin x cos x x in 0

what is the maximum value of the function sin x cos x

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Finding The Maximum And Minimum Value Of A Function Part 1 YouTube
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What is the maximum value of the function sin x cos x Solution Maxima and minima are known as the extrema of a function Maxima and minima are the maximum or the minimum value of a function within the given set of ranges Let f x sin x cos x Therefore On differentiating wrt x we get f x cos x sin x Now f x 0 cos 1 Answer Let f x sin x cos x Now f x will be negative when sin x cos x is positive i e when sin x and cos x are both positive Also we know that sin x and cos x both are positive in the first

Find the absolute maximum minimum value of following function f x sin x cos x x in 0 HOW TO FIND MAXIMUM AND MINIMUM VALUES OF SINE AND COSINE FUNCTION Identify the maximum and minimum values and zeroes of the function in the interval 2 2 Use your understanding of transformations Problem 1 y 2sinx Solution For a sine function the minimum value is 1 and maximum value is 1 1 sinx 1 Multiply it by 2

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Sinx cosx So when x 4 and x 5 4 At x 0 the derivative has value f 0 cos 0 sin 0 1 therefore the function is increasing at x 0 and x 4 is a maximum These maximums will happen at an interval of 2 therefore the answer is max 4 2 n Hopefully this helps 2 Boundedness Unlike polynomial functions with the exception of constant functions the function sin x and cos x have both a maximum value and a minimum value For both functions the maximum value of the function is 1 and the minimum value is 1

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what is the maximum value of the function sin x cos x - What is the maximum value of the function sin x cos x Solution Maxima and minima are known as the extrema of a function Maxima and minima are the maximum or the minimum value of a function within the given set of ranges Let f x sin x cos x Therefore On differentiating wrt x we get f x cos x sin x Now f x 0 cos