 SEMATHS.ORG Updated: 4 November 2021 09:26:00 PM

# What does sin 1 mean?

The inverse sine function or Sin-1 takes the ratio, Opposite Side / Hypotenuse Side and produces angle θ. It is also written as arcsin. Sin inverse is denoted by sin-1 or arcsin. θ = Sin-1 (Opposite side/Hypotenuse)

## Against this background, how do you do inverse sine?

To find the inverse of an equation such as sin x = 1/2, solve for the following statement: “x is equal to the angle whose sine is 1/2.” In trig speak, you write this statement as x = sin–1(1/2). The notation involves putting a –1 in the superscript position.

## With that being said, why do we do 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.

## Considering that fact, what is the formula for sin 1?

That is sin-1(sinθ) = θ and sin(sin-1θ) = θ. To avoid confusion, we also write arcsin x, or simply asin x, for sin-1x (read as arc sine of x). Similar notation is used for other trig functions: If sin θ = x, then θ = sin-1x = arcsin x.

## Do you have your own answer or clarification?

### Related questions and answers

#### Does arcsin sin 1?

Strictly speaking, the symbol sin-1( ) or Arcsin( ) is used for the Arcsine function, the function that undoes the sine. Think of the Arcsine as the principal arcsine. Restrict the domain to take this inverse function. A function can only be an inverse if it is 1-to-1 and undoes exactly the desired function.

#### What is the difference between sin-1x and Sinx 1?

So sin^-1 x represents an angle whose sine is x. The second one sin (x) ^-1 is nothing but the reciprocal of sin x. Hence sin (x) ^-1 = 1/sin x denotes a value. Thus the first one represents an angle where as the second one denotes a value.

#### What is the sine inverse of 0?

Inverse Sine Table
θSin-1 or Arcsin(θ) (in Radian)Sin-1 or Arcsin(θ) (in Degree)
-1/2-π/6-30°
00
1/2π/630°
√2/2π/445°

#### What is the difference between sin 1 and 1 sin?

1 Expert Answer In sin-1x, the "-1" is NOT an exponent. It represents the inverse of the sine function. Recall f(x) and f-1(x). sin-1x means the same as arcsin x, i.e., the arc whose sine is x.

#### Is sin 1 the same as 1 sin?

Common Calculus Mistakes Example: Derivative of inverse sine. 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).

#### What is the value of sin-1 0?

Inverse Sine Value Table
ϴSin-1 ϴ ValuesSin-1 ϴ (In Degrees)
00
12π230°
√22π345°
√32π460°

#### Does Arcsin sin-1?

Strictly speaking, the symbol sin-1( ) or Arcsin( ) is used for the Arcsine function, the function that undoes the sine. Think of the Arcsine as the principal arcsine. Restrict the domain to take this inverse function. A function can only be an inverse if it is 1-to-1 and undoes exactly the desired function.

#### Does sin 1x 1 Sinx?

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).

#### Is CSC the same as sin 1?

cosecant is the reciprical of the sin function or 1/sin(x) so that csc(x)*sin(x) = 1 when it is defined. The two can be confused since arcsin(x) is often denoted as sin^-1(x) and x^-1 is 1/x.

#### Does Arcsin sin 1?

Strictly speaking, the symbol sin-1( ) or Arcsin( ) is used for the Arcsine function, the function that undoes the sine. Think of the Arcsine as the principal arcsine. Restrict the domain to take this inverse function. A function can only be an inverse if it is 1-to-1 and undoes exactly the desired function.

#### Does sin-1x 1 Sinx?

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).

#### Is sin-1 the same as 1 sin?

Common Calculus Mistakes Example: Derivative of inverse sine. 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).

#### How is sin 1 used?

Inverse Sine Function
2. sin a° = 18.88/30.
3. Calculate 18.88/30:sin a° = 0.6293
4. Inverse Sine:a° = sin−1(0.6293)
5. Use a calculator to find sin−1(0.6293 ):a° = 39.0° (to 1 decimal place)

#### What is the difference between sin 1 and 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.

#### How do you convert sin to CSC?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

#### What's the difference between sin and sin 1?

What is the difference between sin-1 and 1/sin x? Sin-1 is the inverse of sine function. 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.

#### What is the reciprocal of sin?

The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

#### What is the value of sin 1 (- 1 2?

Therefore, principal value of sin-1(-1/2) = -π/6.

#### Is csc the same as sin 1?

cosecant is the reciprical of the sin function or 1/sin(x) so that csc(x)*sin(x) = 1 when it is defined. The two can be confused since arcsin(x) is often denoted as sin^-1(x) and x^-1 is 1/x.

[−1,1]

#### What is the sin inverse of 1 2?

"inverse sine" may refer to either a single values function (the principal value -- common in introductory courses) or to a "multivalued function". We know that sin(π6)=12 and so, sin(−π6)=−12 . Therefore, the (principal) inverse sine of −12 is −π6 .

#### Is sin 1 the same as sin 1?

Common Calculus Mistakes Example: Derivative of inverse sine. 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).

#### Is csc just sin flipped?

Cosecant is the reciprocal of sine. Its abbreviation is csc. To determine csc, just flip sin over. Secant is the reciprocal of cosine.

[3,1]

#### What is the difference between sin-1 and 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
ϴSin-1 ϴ ValuesSin-1 ϴ (In Degrees)
00
12π230°
√22π345°
√32π460°