Advertisement Remove all ads

If Tan (A + B) = P and Tan (A − B) = Q, Then Write the Value of Tan 2b. - Mathematics

Short Note

If tan (A + B) = p and tan (A − B) = q, then write the value of tan 2B

Advertisement Remove all ads

Solution

\[\tan 2B = \tan(B + B)\]
\[ = \tan(A + B - (A - B))\]
\[ = \frac{\tan(A + B) - \tan(A - B)}{1 + \tan(A + B)\tan(A - B)} \]
\[ = \frac{p - q}{1 + pq} \left[ \because \tan(A + B) = p \text{ and } \tan(A - B) = q \right]\]

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 7 Values of Trigonometric function at sum or difference of angles
Q 7 | Page 27
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×