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If x = sin^(-1)(1/2), what is the value of cos(x)?
If x = sin^(-1)(1/2), what is the value of cos(x)?
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Practice Questions
1 question
Q1
If x = sin^(-1)(1/2), what is the value of cos(x)?
1/2
√3/2
1
0
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If x = sin^(-1)(1/2), then x = π/6. Therefore, cos(x) = cos(π/6) = √3/2.
Questions & Step-by-step Solutions
1 item
Q
Q: If x = sin^(-1)(1/2), what is the value of cos(x)?
Solution:
If x = sin^(-1)(1/2), then x = π/6. Therefore, cos(x) = cos(π/6) = √3/2.
Steps: 5
Show Steps
Step 1: Understand that sin^(-1)(1/2) means we are looking for an angle x whose sine value is 1/2.
Step 2: Recall that the angle x = π/6 (or 30 degrees) has a sine value of 1/2.
Step 3: Now that we know x = π/6, we need to find cos(x).
Step 4: Use the cosine value for the angle π/6, which is √3/2.
Step 5: Therefore, cos(x) = √3/2.
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