Question

(1 - cos²A)(1+tan 2A) =
(a)cot²A
(b)tan²A. prove the value​

Answer 1

$\huge{\mathfrak{\boxed{\pink{Answer}}}}$

$(1 - cos {}^{2} )(1 + tan {}^{2} ) \\ =(sin {}^{2} )(sec {}^{2} ) \\ = sin {}^{2} \times \frac{1}{cos {}^{2} } \\ = \frac{sin {}^{2} }{cos {}^{2} } \\ = tan {}^{2}$

$\large{\mathcal{\blue{(b)\:is\:correct}}}$