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If sin^(-1)(x) = π/4, what is the value of x?
If sin^(-1)(x) = π/4, what is the value of x?
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Practice Questions
1 question
Q1
If sin^(-1)(x) = π/4, what is the value of x?
1/2
√2/2
1
0
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If sin^(-1)(x) = π/4, then x = sin(π/4) = √2/2.
Questions & Step-by-step Solutions
1 item
Q
Q: If sin^(-1)(x) = π/4, what is the value of x?
Solution:
If sin^(-1)(x) = π/4, then x = sin(π/4) = √2/2.
Steps: 6
Show Steps
Step 1: Understand that sin^(-1)(x) means the angle whose sine is x.
Step 2: The equation sin^(-1)(x) = π/4 tells us that the sine of some angle is equal to x.
Step 3: Recognize that π/4 is a specific angle (45 degrees) in trigonometry.
Step 4: Find the sine of π/4. We know that sin(π/4) = √2/2.
Step 5: Since sin^(-1)(x) = π/4, we can say that x = sin(π/4).
Step 6: Therefore, x = √2/2.
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