What is the maximum and minimum value of sin 4 theta cos 4 Theta?

Originally Answered: What is the maximum value of sin^4 \theta+ cos^4 \theta? For the value sin^4 x + cos^4 x to be maximum x should be either 0 deg or 90 deg. In either case the answer will be 1.

What is the minimum value of sin 4x cos 4x?

1/2
The minimum value of f(x) = sin4x + cos4x , 0 ≤ x ≤ π/2 is. We know that the range of sin x is [-1, 1], whereas the range of sin2(2x) is [0, 1]. Hence, the minimum value is 1/2.

What is the greatest value of Sinθ Cosθ?

√2
∴ The maximum value of sinθ + cosθ is √2.

What is sin 4theta?

sin 4θ = sin 2(2θ) Using the formula sin 2A = 2 sin A cos A, sin 4θ = 2 sin 2θ cos 2θ Using the formula cos 2θ = 1 – 2 sin2θ, sin 4θ = 2 (2 sin θ cos θ) (1 – 2 sin2θ)

What is sin 4 theta cos 4 Theta?

sin ^4theta-cos ^4theta = 1 – 2cos ^2theta .

What is the maximum value of 3 cos theta 4 sin theta?

5
Therefore, the maximum value of 3 cos θ + 4 sin θ is 5.

What is the maximum value of 3sinx 4cosx?

Thus the maximum value will be 4.

What is the minimum value of sin 2x cos 4x?

The answer is 1.

What is the maximum value of Sinθ?

1
Maximum value of sin θ is 1 when θ = 90 ˚. Minimum value of sin θ is –1 when θ = 270 ˚.

What is the maximum value of SinA CosA?

equal to 1
(A) Maximum value of (SinA + CosA) is equal to 1. (B) Minimum value of (TanA CosecA) is equal to 0.

What is the value of cos 4 Theta?

∴ cos 4° = 0.9976.

What are the trigonometric identities?

All the trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side.

What is the maximum value of sin Theta + Cos Theta?

The maximum value of sin theta + cos theta is √2 = 1.414213562 and occurs when theta is 45 deg.

What is the value of Y when (sin^2^2) reaches its peak value?

Now, value of (sin 2θ) varies between (-1) and (+1). Thus, squaring this up, it can be written, value of (sin^2 2θ) varies between 0 and (+1). From the above equation we see, value of y is minimum when (sin^2 2θ) reaches its peak value. The peak value of (sin^2 2θ) is 1.

How do you find the maximum value of sin(x+p)?

Let cosp= 3/5 , then sinp= 4/5. y = 5.sin (x+p). For the maximum value of y , sin (x+p) should be maximum. thus, sin (x+p)= 1. Maximum value of y = 5×1.= 5. Answer. 25 insanely cool gadgets selling out quickly in 2021. We’ve put together a list of incredible gadgets that you didn’t know you needed!

What is the point of minima and maxima of the function?

If x=90 degree , f” (x)=1, greater than 0, so x=90 degree is the point of minima the function. If x=30degree, f” (x)=-3/2, less than 0, so x=30 degree is the point of maxima of the function.