Calculate the inverse sine of any number using this calculator. This arcsin calculator converts any number into its arcsin or inverse sine. Select radians or degrees for the units.
Arcsin Formula
The following formula can be used to calculate the arcsin of any number.
Arcsin(x) = C
Sin C = x
This equation essentially says that any arcsin value equals the inverse sine value. In more conceptual terms, you can think of the arcsin as the angle whose sin is x. The arcsin can be used to calculate the angle when the sine of the angle is given.
Arcsin Definition
Arcsin is the inverse value of the sine of any value or angle.
How to calculate arcsin?
How to calculate arcsin?
- First, determine the angle or value.
Measure or calculate the angle you are going to take the arcsin of.
- Next, take the sine of the value.
Calculate the some value.
- Finally, take the inverse.
Take the inverse of the value from step 2 to get the arcsin value.
FAQ
What is the difference between arcsin and sin?
Sin refers to the trigonometric function that provides the ratio of the length of the side opposite to an angle to the length of the hypotenuse in a right-angled triangle. Arcsin, or inverse sine, is the function that finds the angle whose sine is a given number.
Can arcsin values be in both radians and degrees?
Yes, the arcsin values can be expressed in both radians and degrees. The choice between radians and degrees depends on the context of the problem or the preference of the user.
Is there a specific range for arcsin values?
Yes, the range of arcsin values is restricted to -π/2 to π/2 radians or -90 to 90 degrees because it is the range in which each sine value is unique.
How do you calculate arcsin without a calculator?
Calculating arcsin without a calculator involves understanding the sine values for specific angles and using trigonometric identities or tables. For angles commonly used in trigonometry (like 30°, 45°, 60°), their sine values are well-known, and their corresponding arcsin can be directly stated. For other values, one might need to refer to trigonometric tables or use series expansions.
