Is tangent continuous on its domain?
Is tangent continuous on its domain?
The domain of the tangent function is R∖(π2+πZ) and it is continuous.
What is the domain of Sinx?
The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1]. See how we find the graph of y=sin(x) using the unit-circle definition of sin(x).
What is the domain of sec theta?
Summary
| Function | Domain | Range |
|---|---|---|
| cot θ | R – {nπ, n ∈ Z} | R |
| sec θ | R – {(2n+1)π/2, n ∈ Z} | (– ∞, -1] ∪ [1 , ∞) or, {y: y ∈ R, y ≥ 1 or y ≤ –1} |
| cosec θ | R – {nπ, n ∈ Z} | (– ∞, -1] ∪ [1 , ∞) or, {y: y ∈ R, y ≥ 1 or y ≤ –1} |
What is the domain of COTX?
Period and Amplitude of Basic Trig Functions
| A | B |
|---|---|
| Domain of y=cot x | All x≠nπ |
| Range of y=cot x | All Real numbers |
| Domain of y=sec x | All x≠π/2 + nπ |
| Range of y=sec x | y≤-1, y≥1 |
What is the domain of the function Cosec 1?
Domain and Range of Trigonometry Functions
| Domain | Range | |
|---|---|---|
| cos -1 | [–1, 1] | [0,π] |
| tan -1 | R | (-π/2,π/2) |
| cosec -1 | R – (–1, 1) | [-π/2,π/2] – {0} |
| sec -1 | R – (–1, 1) | [0,π]-{π/2} |
What is the value of Cosec 1?
Value of csc(1 degree) or Cosec(1 degree) = /div>
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What is the range of Y sec 1x?
We may consider [0, π] as range of y = sec-1(x).
What is the value of Cosec inverse minus 2?
cosec-1(-√2) Therefore, principal value of cosec-1(-√2) = -π/4.
What is the principal value of Cos inverse (- 1 2?
Determine the principal value of cos-1(-1/2). cos y = cos (2π/3). Thus, the Range of the principal value of cos-1 is [0, π ]. Therefore, the principal value of cos-1( -1/2) is 2π /3.
How do you find the value of cos inverse?
With inverse cosine, we select the angle on the top half of the unit circle. Thus cos-1 (–½) = 120° or cos-1 (–½) = 2π/3. In other words, the range of cos-1 is restricted to [0, 180°] or [0, π]. Note: arccos refers to “arc cosine”, or the radian measure of the arc on a circle corresponding to a given value of cosine.
What is the value of Cos minus half?
Cos 120 degree is equal to minus half which can be written as (- ½ ) or (-0.5).
Is SEC and Arccos the same?
Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. Note, sec x is not the same as cos-1x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid when the denominators are not zero.