- Home
- Standard 11
- Mathematics
3.Trigonometrical Ratios, Functions and Identities
easy
यदि $\tan \,(A + B) = p,\,\,\tan \,(A - B) = q,$ तो $\tan \,2A$ का मान $p$ तथा $q$ के पदों में है
A
$\frac{{p + q}}{{p - q}}$
B
$\frac{{p - q}}{{1 + pq}}$
C
$\frac{{p + q}}{{1 - pq}}$
D
$\frac{{1 + pq}}{{1 - p}}$
Solution
(c) $2A = (A + B) + (A – B)$
$ \Rightarrow $$\tan 2A = \frac{{\tan (A + B) + \tan (A – B)}}{{1 – \tan (A + B)\tan (A – B)}}$
$= \frac{{p + q}}{{1 – pq}}$.
Standard 11
Mathematics
