# What is the maximum value of sine?

## What is the maximum value of sine?

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Properties Of The Sine Graph 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.

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.

Is the sine function infinite?

Originally Answered: What is the value of sin infinity? Sin infinity is not defined. takes the value from 0 to 1 (0 degrees to 90 degrees), then returns to 0 ate , then voves to 270 degrees in the 3rd quadrant when the value is minimum, than bact to 0 degrees (or 360 degrees).

### What is the maximum value of cosine?

Properties Of The Cosine Graph Maximum value of cos θ is 1 when θ = 0˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚. So, the range of values of cos θ is – 1 ≤ cos θ ≤ 1.

What is the maximum value of sine and cosine?

The cosine function ranges from -1 to 1, therefore the minimum is -1 and the maximum is 1. 2. The sine function ranges from -1 to 1, and since there is a two multiplied by the function, the minimum is -2 and the maximum is 2. 3.

What is the maximum value of sin 30?

According to this sin 30 table, the value of sin 30 degree is ½.

## What is the max value of Sinx COSX?

Maximum value of sin(2x) is at x = 45° because sin 90° = 1 (max). Therefore, maximum value of sin(x)cos(x) = (1/2)×1 = 1/2 or 0.5.

What is the limit of sin infinity?

The range of y=sinx is R=[−1;+1] ; the function oscillates between -1 and +1. Therefore, the limit when x approaches infinity is undefined.

What is the value of sine?

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As can be seen from the figure, sine has a value of 0 at 0° and a value of 1 at 90°. Cosine follows the opposite pattern; this is because sine and cosine are cofunctions (described later). The other commonly used angles are 30° ( ), 45° ( ), 60° ( ) and their respective multiples.

### What is the maximum value of sin theta and cos theta?

The maximum value of sin θ + cos θ in [θ , π/2] is. Maximum value will be obtained when θ + π/4 = /2 and the maximum value will be √2.

What are the maximum and minimum values of sine function?

The sine function ranges from -1 to 1, and since there is a two multiplied by the function, the minimum is -2 and the maximum is 2. 3. The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1.

How do you find the value of sin 45?

The value of sin 45 degrees can be calculated by constructing an angle of 45° with the x-axis, and then finding the coordinates of the corresponding point (0.7071, 0.7071) on the unit circle. The value of sin 45° is equal to the y-coordinate (0.7071). ∴ sin 45° = 0.7071.

For a sine function the minimum value is -1 and maximum value is 1.-1 ≤ sinx ≤ 1. Multiply it by 2-2 ≤ 2sinx ≤ 2. Maximum at y = -2 and minimum at y = 2. To find for what value of x, we will have the maximum value and minimum value, we should equate

## What is the maximum and minimum value of a cosine function?

So maximum is 2 at -3π/2 and π/2 and m inimum is -2 at π/2 and 3π/2. So zeroes are 0, ± π, ± 2π. For a cosine function the minimum value is -1 and maximum value is 1.

What are the minimum and maximum values of trigonometric functions?

Minimum and Maximum values of Trigonometric Functions. Minimum value = – √ (a 2 + b 2 ) Example: Find the minimum and maximum value of 3 sinɸ + 4 sinɸ. Minimum value = – √ (3 2 + 4 2 ) = -5. Maximum value = √ (3 2 + 4 2 ) = 5. Type 2: (sinɸ cosɸ) n. Minimum value = (1/2) n. The maximum value can go

What are the zeroes of Sine and cosine?

For a sine function the minimum value is -1 and maximum value is 1. So maximum is 2 at -3π/2 and π/2 and m inimum is -2 at π/2 and 3π/2. So zeroes are 0, ± π, ± 2π. For a cosine function the minimum value is -1 and maximum value is 1.