Question
tan \left(110\degree \right)-\tan \left(50\degree \right)}{1+\tan \left(110\degree \right)\cdot \tan \left(50\degree \right)}\)
Answers
GPT 3.5
To simplify this expression, we can use the angle addition formula for tangent which states that:
\( \tan(A-B) = \frac{\tan A - \tan B}{1+\tan A \cdot \tan B} \).
Thus, we can rewrite the given expression as:
\( \tan(110\degree - 50\degree) = \tan(60\degree) = \sqrt{3} \).
\( \tan(A-B) = \frac{\tan A - \tan B}{1+\tan A \cdot \tan B} \).
Thus, we can rewrite the given expression as:
\( \tan(110\degree - 50\degree) = \tan(60\degree) = \sqrt{3} \).