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If x = tan^(-1)(√3), then what is the value of sin^(-1)(x)?
If x = tan^(-1)(√3), then what is the value of sin^(-1)(x)?
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Practice Questions
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Q1
If x = tan^(-1)(√3), then what is the value of sin^(-1)(x)?
π/3
π/4
π/2
π/6
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x = tan^(-1)(√3) = π/3, thus sin^(-1)(x) = sin^(-1)(√3/2) = π/3.
Questions & Step-by-step Solutions
1 item
Q
Q: If x = tan^(-1)(√3), then what is the value of sin^(-1)(x)?
Solution:
x = tan^(-1)(√3) = π/3, thus sin^(-1)(x) = sin^(-1)(√3/2) = π/3.
Steps: 5
Show Steps
Step 1: Understand that x = tan^(-1)(√3) means we need to find an angle whose tangent is √3.
Step 2: Recall that tan(π/3) = √3. Therefore, x = π/3.
Step 3: Now we need to find sin^(-1)(x), which is sin^(-1)(π/3).
Step 4: We know that sin(π/3) = √3/2.
Step 5: Therefore, sin^(-1)(√3/2) = π/3.
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