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The maximum value of 4sin 2x+3cos 2x

SpletFree math problem solver answers your trigonometry homework questions with step-by-step explanations. Splet05. maj 2024 · d-a and d+a are the y-minimum and y-maximum *Based on their respective parent functions. (1) y=3•sin(2x) and y=3•cos(2x) Amplitudes are the same and both equal to 3. Periods are the same and they are both equal to π. y-min and y-max are also the same (both equal to -1 and 1) Zero phase shift on both.

Solve 3sin2x+4cos2x=2 Microsoft Math Solver

SpletFree Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step SpletDivide both sides by $\cos^2x$ and use $\sec^2x=1+\tan^2x$ to form a Quadratic Equation in $\tan x$ Now as $\tan x$ is real, the discriminant must be $\not<0$ Or divide both sides by $\sin^2x$ to form a Quadratic Equation in $\cot x$ grapevine tx places to eat https://carriefellart.com

The Maximum value of $ 4{\sin ^2}x + 3{\cos ^2}x $ is - Vedantu

Splet09. dec. 2024 · Best answer Correct option (A) 4 + √2 Maximum value of 4sin2x + 3cos2x, that is, sin2x + 3 is 4 and that of sin x/2 + cosx/2 is 1/√2 + 1/√2 = √2,both attained at x = … Splet16. jan. 2024 · In order to find the maximum value follow these steps : Formula for maximum value When we are to find the maximum value of a sin x + b cos x : Maximum value = √ ( a² + b² ) Minimum value = - √ ( a² + b² ) Find the maximum value of 3 sin x + 4 cos x hence the maximum value of 3 sin x + 4 cos x = > √ ( 3² + 4² ) = > √ ( 9 + 16 ) = > √ … SpletTrigonometry Graph y=3cos (2x) y = 3cos (2x) y = 3 cos ( 2 x) Use the form acos(bx−c)+ d a cos ( b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. a = 3 a = 3 b = 2 b = 2 c = 0 c = 0 d = 0 d = 0 Find the amplitude a a . Amplitude: 3 3 Find the period of 3cos(2x) 3 cos ( 2 x). chip seq method antibody

The least value of 2sin ^2theta + 3cos ^2theta is - Toppr

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The maximum value of 4sin 2x+3cos 2x

IIT JEE TRIGONOMETRIC FUNCTIONS Find the maximum value of …

Splet15. sep. 2015 · We know that sin2x + cos2x = 1 hence cos2x = 1 −sin2x. thus. 5sin2x + 3(1 −sin2x) = 4 ⇒ 5sin2x +3 −3sin2x = 4 ⇒ 2sin2x = 1 ⇒ sinx = ± √2 2 ⇒ x = π 4,x = 3π 4,x = 5π 4,x = 7π 4. Answer link. Splet25. jun. 2024 · Answer: Minimum value = 4. Step-by-step explanation: Since we have given that We need to find the minimum value. In general we know that if a sin²x+b cos²x is given and if 1) a&gt;b, minimum value = b, maximum value = a 2) a4 i.e. a&gt;b. Then, minimum value = 4. Advertisement vaneetg323 Answer:

The maximum value of 4sin 2x+3cos 2x

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Splet(a) find the value of R and the value of α. (4) (b) Hence solve the equation . 12 cos x – 4 sin x = 7 . for 0 ≤ x ≤ 360°, giving your answers to one decimal place. (5) (c) (i) Write down the minimum value of 12 cos x – 4 sin x. (1) (ii) Find, to 2 decimal places, the smallest positive value of x for which this minimum value occurs. (2) Splet19. jul. 2013 · The maximum value of Sin x + cos x is √2 1/ √2 1 2 Applying Ratta-fication formulae No.1 a sin θ ± b cos θ = ±√ (a 2 + b 2 ) { for min. use – , for max. use + } in the given question, we’ve to find the max value of Sin x + cos x = + √ (1 2 + 1 2 ) = √2 ( correct answer A ) The maximum value of 3 Sin x – 4 Cos x is

SpletEvaluate at the included endpoints. Tap for more steps... (−π,3),(π,3) ( - π, 3), ( π, 3) Compare the f (x) f ( x) values found for each value of x x in order to determine the absolute maximum and minimum over the given interval. The maximum will occur at the highest f (x) f ( x) value and the minimum will occur at the lowest f (x) f ( x ... SpletSUMMER 2010 PAPER 11 QUESTION 5

Splet03. apr. 2024 · Trigonometric Function Answer The Maximum value of 4 sin 2 x + 3 cos 2 x is A − 3 B − 4 C − 5 D − 7 Last updated date: 03rd Apr 2024 • Total views: 255k • Views … SpletIn algebra, a quadratic equation (from Latin quadratus 'square') is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c …

Splet1. Find maximum of f ( x) = 3 cos 2 x + 4 sin 2 x. The shortest way to do this is to only consider 2 x ∈ [ 0, 2 π), set t = 2 x and note that. Max ( cos t) = 1 for t = 0. Max ( sin t) = 1 …

SpletAs we know that in mathematical analysis maxima and minima is collectively know as Extrema (Which is plural of extrumum). Okay, Now let’s solve it- Given function is … chip seq pcaSplet(b) Hence find the maximum value of 3 cos θ + 4 sin θ and the smallest positive value of θ for which this maximum occurs. (3) The temperature, f (t), of a warehouse is modelled using the equation . f(t) = 10 + 3 cos(15t)° + 4 sin(15t)°, … chip seq narrow peakSpletFind the maximum and minimum value of `sin^2 x+ 4cos 2x`, for x in R . - YouTube 0:00 / 2:20 Find the maximum and minimum value of `sin^2 x+ 4cos 2x`, for x in R . 4,324 views … grapevine tx property tax