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What is the value of sin(tan^(-1)(√3))?

Practice Questions

Q1
What is the value of sin(tan^(-1)(√3))?
  1. √3/2
  2. 1/2
  3. 1
  4. √2/2

Questions & Step-by-Step Solutions

What is the value of sin(tan^(-1)(√3))?
  • Step 1: Understand that tan^(-1)(√3) means we are looking for an angle whose tangent is √3.
  • Step 2: Recall that tan(60°) = √3. Therefore, tan^(-1)(√3) = 60°.
  • Step 3: Now we need to find sin(60°).
  • Step 4: Recall that sin(60°) = √3/2.
  • Step 5: Therefore, sin(tan^(-1)(√3)) = √3/2.
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