Table of Contents
What does sin 1 represent?
The inverse sine function or Sin-1 takes the ratio, Opposite Side / Hypotenuse Side and produces angle θ. It is also written as arcsin.
Where is sin 1 defined?
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.
How is sin 1 calculated?
Inverse Sine Function
- Start with:sin a° = opposite/hypotenuse.
- sin a° = 18.88/30.
- Calculate 18.88/30:sin a° = 0.6293…
- Inverse Sine:a° = sin−1(0.6293…)
- Use a calculator to find sin−1(0.6293… ):a° = 39.0° (to 1 decimal place)
Is 1 sin the same as sin 1?
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).
Why do you use sin 1?
The inverse trigonometric functions sin−1(x) , cos−1(x) , and tan−1(x) , are used to find the unknown measure of an angle of a right triangle when two side lengths are known.
Is sin 1 the same as 1 sin?
Is sin 1 the same as CSC?
So the reciprocal of the sine function is called the cosecant and is equal to the hypotenuse / opposite. It is important to note that there is a big difference between the reciprocal value csc θ and sin-1x. The cosecant function means 1/sin θ, while the second involves finding an angle whose sine is x.
What is the value of sin 1 0?
Inverse Sine Value Table
| ϴ | Sin-1 ϴ Values | Sin-1 ϴ (In Degrees) |
|---|---|---|
| 0 | 0 | 0° |
| 12 | π2 | 30° |
| √22 | π3 | 45° |
| √32 | π4 | 60° |
What is the inverse tangent equal to?
Basic idea: To find tan-1 1, we ask “what angle has tangent equal to 1?” The answer is 45°. As a result we say that tan-1 1 = 45°. In radians this is tan-1 1 = π/4. More: There are actually many angles that have tangent equal to 1.
What is the difference between sin 1 and CSC?