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The value of sin^(-1)(sin(π/4)) is:
The value of sin^(-1)(sin(π/4)) is:
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Practice Questions
1 question
Q1
The value of sin^(-1)(sin(π/4)) is:
π/4
3π/4
0
π/2
Show Solution
Copy
Since π/4 is in the range of sin^(-1), sin^(-1)(sin(π/4)) = π/4.
Questions & Step-by-step Solutions
1 item
Q
Q: The value of sin^(-1)(sin(π/4)) is:
Solution:
Since π/4 is in the range of sin^(-1), sin^(-1)(sin(π/4)) = π/4.
Steps: 5
Show Steps
Step 1: Understand what sin(π/4) means. π/4 is an angle in radians, which is equal to 45 degrees.
Step 2: Calculate sin(π/4). The sine of 45 degrees (or π/4 radians) is √2/2.
Step 3: Now, we need to find sin^(-1)(√2/2). This means we are looking for the angle whose sine is √2/2.
Step 4: The angle that has a sine of √2/2 and is within the range of sin^(-1) (which is from -π/2 to π/2) is π/4.
Step 5: Therefore, sin^(-1)(sin(π/4)) = π/4.
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