Sage-Tips

Can you take the inverse sine of a number greater than 1?

You can’t. For all angles, their sine is between -1 and 1, inclusive. Finding the “sin inverse”, or “arcsin”, means finding an angle whose sine is the argument. There is no angle whose sine is 1.42, or any other number outside the range.

How do you find the inverse cosine of a number bigger than 1?

To get arccos of u, when |u| > 1, you will end up with a complex number….

1. If costheta is between -1 and +1 use theta=acos(costheta).
2. If costheta is less than -1 by a small amount, use theta=M_PI.
3. If costheta is greater than +1 by a small amount, use theta=0.
4. Otherwise, croak.

How do you find the value of sin inverse 1?

Value of the Inverse of Sin 1 (Sin -1 1) Hence, sin-11 (1) is equal to the angle whose value of the sine function is 1. Since the inverse of sin-1 (1) is 90° or π/2, the maximum value of the sine function is denoted by ‘1’. Therefore, for every 90 degrees the same will happen, such as at π/2, 3π/2, and so on.

Which is greater sin 1 degree or sin 1?

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

What is the principal value of sin inverse 1?

Range of principal value for sin-1 is [-π/2, π/2] and sin(π/6) = 1/2. Therefore, principal value of sin-1(1/2) = π/6. Therefore, principal value of cos-1(1/2) = π/3.

Why can’t the sine of an angle be greater than 1?

Note: Since the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse, the values will never be more than 1, because (some number) / (a bigger number) from a right triangle is always going to be smaller than 1.

Why is sin 1 bigger?

In Sin 1, the angle is 1 radian where as in Sin 1 degree, the angle is in degrees. 1 radian = 57 degrees 16 minutes approximately. So now these two expressions become Sin 1 degree and Sin 57 degrees 16 minutes. We know that the value of Sine function increases when the angle increases from 0 degree to 90 degrees.

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.

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.

How do you find the inverse sine function?

The inverse sine function formula or the arcsin formula is given as: sin-1 (Opposite side/ hypotenuse) = θ. Graph of Inverse Sine Function. Arcsine trigonometric function is the sine function is shown as sin-1 a and is shown by the below graph. Inverse Sine Derivative. The derivative of inverse sine function is given by: d/dx Sin-1 x= 1 / √(1-x 2)

What is the difference between arcsin α and 1 sin x?

Arcsin α means the arc whose sine is α. Whereas 1/sin x shows the reciprocal of sine function, which is also equal to cosecant function. Is sine inverse equal to cosec function? Sine inverse or arcsine is the inverse of sine function which returns the value of angle for which sine function is equal to opposite side and hypotenuse ratio.