Top

Discussion

What is the value of \(\frac{\tan 60° - \tan 30°}{1 + \tan 60° \tan 30°}\)?

  • A.\(\tan 30°\)
  • B.\(\tan 60°\)
  • C.\(\tan 90°\)
  • D.\(\cos 30°\)

Answer: A

This expression is in the form of the tangent subtraction formula: \(\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}\).

Here, A = 60° and B = 30°.

So, the expression is equal to \(\tan(60° - 30°) = \tan 30°\).

No comment is present. Be the first to comment.
Loading…

Post your comment