What values between 0 degree and 360 degree may a have when?

Between 0° and 360°, this will happen when θ = 90°, or θ = 270°.

What is the range of angles for inverse sine?

[−1,1]
The range is [−1,1] . (Although there are many ways to restrict the domain to obtain a 1−to−1 function this is the agreed upon interval used.) We denote the inverse function as y=sin−1(x) . It is read y is the inverse of sine x and means y is the real number angle whose sine value is x .

How do you calculate 360 degrees?

Explanation: A full circle has 360 degrees, which means that 100\% of the circle is 360 degrees. First we need to convert the percentage into a decimal. If you multiply 360 by 0.70, you get the degree measure that corresponds to the percentage, which is 252.

What is the difference between 0 and 360?

Zero degree angle would just be a single bold black line. Bold because it’s actually two lines with zero degrees of difference in between them. A 360 degree angle would have the same single bold black line, but this time you would also see a full circle drawn with that bold line sticking out at one side.

What is the difference between 0 degree and 360 degree?

Why is range of sin inverse?

It means that there exist a,b∈[0;π],a≠b, that sin(a)=sin(b). This is very inconvenient because arcsin would be multivalued. For one argument there would exist two values. That’s why such range is selected that sin is injective and thus arcsin is a function.

What is the value of sin(0) at 90 degrees?

Unit circle showing cos (0) = 1 and sin (0) = 0 Because tangent equals sine divided by cosine, tan (0) = sin (0) / cos (0) = 0 / 1 = 0. Next let’s see what happens at 90 degrees. The coordinates of the corresponding point are (0, 1). Thus, sin (90) = y = 1 and cos (90) = x = 0. The circle will look like this: Fig 5.

What is the value of Tan(0) at 90 degrees?

Because tangent equals sine divided by cosine, tan (0) = sin (0) / cos (0) = 0 / 1 = 0. Next let’s see what happens at 90 degrees. The coordinates of the corresponding point are (0, 1). Thus, sin (90) = y = 1 and cos (90) = x = 0. The circle will look like this:

How do you find the arctan of X?

Arctan definition. The arctangent of x is defined as the inverse tangent function of x when x is real (x ∈ℝ). When the tangent of y is equal to x: tan y = x. Then the arctangent of x is equal to the inverse tangent function of x, which is equal to y: arctan x= tan-1 x = y. Example. arctan 1 = tan-1 1 = π/4 rad = 45° Graph of arctan. Arctan rules

What is the range of angle values in trigonometry?

The angle value ranges from 0-360 degrees. The important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°. And the important six trigonometric ratios or functions are sine, cosine, tangent, cosecant, secant and cotangent.