Question

tan A-cotA= 1-2 cos2A/sinA coseA​

Answer 1

Step-by-step explanation:

$\tan(a) - \cot(a) \\ = \frac{sin(a)}{ \cos(a) } - \frac{ \cos(a) }{ \sin(a) } \\ = \frac{ { \sin}^{2} a - { \cos }^{2}a }{ \cos(a) \times \sin(a) } \\ = \frac{1 - { \cos }^{2}a - { \cos }^{2} a }{ \sin(a) \cos(a) } \\ = (1 - 2 { \cos}^{2} a) \times \cosec(a) \sec(a) \\ = r.h.s$