Why is the maximum value of sin 1?

Maximum value of sin θ is 1 when θ = 90 ˚. So, the range of values of sin θ is –1 ≤ sin θ ≤ 1. As the point θ moves round the unit circle in either the clockwise or anticlockwise direction, the sine curve above repeats itself for every interval of 360˚.

What value of sine equals 1?

0.8414709848
The value of sin 1 is 0.8414709848, in radian. In trigonometry, the complete trigonometric functions and formulas are based on three primary ratios, i.e., sine, cosine, and tangent in trigonometry.

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|.

What is the maximum value of 1 by sin theta?

(4) Write the maximum value of $ \dfrac{1}{{\cos ec\theta }} $? We can write $ \dfrac{1}{{\cos ec\theta }} $ as $ \sin \theta $ , which means they both have the same maximum value. Therefore, the maximum value of $ \sin \theta $ is 1, we get this value when $ \theta = {90^o} $ .

Is sin 1 the same as 1 sin?

The notation sin-1(x) has been misunderstood to mean 1/sin(x). So sin-1(x) means the inverse sine of x, that is, the function that undoes the sine function. It is not equal to 1/sin(x).

Which is greater sin 1 degree or sin 1?

i.e. sin 1 is greater than sin 1 degree.

What will be the value of cos A If sin a greater than or equal to 1?

So a=90°.

What are the minimum and maximum values that sin a can have?

3. The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1.

What is the maximum and minimum values of the sine function only consider angles in 0 2 pi?

1 Expert Answer the right triangle collapses into a vertical line at 90 and 270 degrees and collapses into a horizontal line at 0 and 180 degrees. those are the angles of maximum and minimum values for sine an cosine: 0, pi/2, pi and 3pi/2 or 0, 90, 180, and 270 degrees.

What is the value of sin -1(1)?

As you can see below, the sin -1 (1) is 270° or, in radian measure, 3Π/2. ‘1’ represents the minimum value of the sine function ever gets and happens at Π/2 and then again at 3Π/2 etc.. (See graph at bottom) Below is a picture of the graph of sin (x) with over the domain of 0 ≤x ≤4Π with sin (-1) indicted by the black dot.

What is the inverse sin of sin -1(1)?

As you can see below, the inverse sin -1 (1) is 90° or, in radian measure, Π/2 . ‘1’ represents the maximum value of the sine function .It happens at Π/2 and then again at 3Π/2 etc.. Below is a picture of the graph sin (x) with over the domain of 0 ≤x ≤4Π with sin (1) indicted by the black dot.

Can the value of sin and cosine be greater than 1?

SIn and Cos values can’t be greater than 1 because limits of Sin and Cos functions are from -1 to 1 so they can’t exceed 1. Considering real argument, the value of cosine and sine can never be greater than 1. If the argument is imaginary, then sine and cosine can vary anywhere on the real axis. Hope this helps.

What is the range of sin x?

The range of function sin x is [-1,1]. Thus, sin x can have values from -1 to 1 but cannot have value less than -1 and more than 1. SIn and Cos values can’t be greater than 1 because limits of Sin and Cos functions are from -1 to 1 so they can’t exceed 1.