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Evaluate sin^(-1)(sin(π/4)).
Evaluate sin^(-1)(sin(π/4)).
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Practice Questions
1 question
Q1
Evaluate sin^(-1)(sin(π/4)).
π/4
3π/4
π/2
0
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sin^(-1)(sin(π/4)) = π/4
Questions & Step-by-step Solutions
1 item
Q
Q: Evaluate sin^(-1)(sin(π/4)).
Solution:
sin^(-1)(sin(π/4)) = π/4
Steps: 4
Show Steps
Step 1: Understand what sin(π/4) means. The sine of π/4 (or 45 degrees) is √2/2.
Step 2: Now we need to find sin^(-1)(√2/2). This means we are looking for the angle whose sine is √2/2.
Step 3: The angle that has a sine of √2/2 is π/4 (or 45 degrees).
Step 4: Therefore, sin^(-1)(sin(π/4)) = sin^(-1)(√2/2) = π/4.
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