Math Problem Statement
Find the exact value of the real number y. Y= sin^-1 (1)
Solution
To find the exact value of , we need to determine the angle for which .
The sine of an angle is equal to 1 at radians (or 90°) within the principal range of the inverse sine function, which is .
Thus, the exact value of is:
Would you like more details on inverse trigonometric functions or their ranges?
Here are 5 related questions you might explore:
- What is the value of ?
- What is the range of the inverse sine function?
- How would you solve ?
- Can you find the derivative of ?
- What are the values of ?
Tip: Inverse trigonometric functions can help solve equations involving angles and their trigonometric values. Always remember the principal range when dealing with inverse functions.
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Inverse Trigonometric Functions
Formulas
y = sin^-1(1)
sin(π/2) = 1
Theorems
Inverse Sine Function
Principal Range of Inverse Sine
Suitable Grade Level
Grades 9-11
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