Math Problem Statement
sin^(-1)1
Solution
The expression refers to the inverse sine (or arcsine) of 1.
In trigonometry, gives the angle whose sine is . So, we are looking for the angle such that:
The sine of (or 90°) is 1. Therefore:
Thus, the answer is:
Would you like more details or have any further questions?
Here are five related questions to explore further:
- What is ?
- How do you compute the inverse sine of negative numbers?
- What is the range of the inverse sine function?
- Can you explain how the sine and inverse sine functions are related graphically?
- How do you calculate inverse trigonometric functions using a calculator?
Tip: Remember that the range of (arcsine) is restricted to .
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Inverse Trigonometric Functions
Formulas
sin^(-1)(x)
sin(θ) = 1
Theorems
Arcsine Function
Range of Inverse Sine Function
Suitable Grade Level
Grades 10-12