Question

prove that (sin a+cos a)/(sin a-cos a)+(sin a-cos a)/(sin a+cos a)=(2)/(1-2 cos^(2)a)

Answer 1

Step-by-step explanation:

HEY MATE........

$\frac{ sin \: a + cos \: a }{sin \: a \: - \: cos \: a} + \frac{sin \: a \: - cos \: a}{sin \: a \: + cos \: a} \\ \\ = \frac{ { \: \: \ {(sin \: a \: + cos \: a)}^{2} + ( {sin \: a \: - cos \: a)}}^{2} }{(sin \: a \: - \: cos \: a)} (sin \: a \: + cos \: a) \\ \\ \implies \: \frac{ {sin}^{2} a + {cos}^{2} a + 2sin \: a \: cos \: a + {sin}^{2}a + {cos}^{2}a - 2sina.cos \: a }{ {sin}^{2} a - {cos}^{2} a} \\ \\ \implies \: \frac{2( {sin}^{2}a + {cos}^{2} a}{ {sin}^{2} a - {cos}^{2} a} \\ \\ \implies \: \frac{2}{ {sin}^{2}a - (1 - {sin}^{2} a)} \\ \\ \implies \: \frac{2}{ {sin}^{2} a - 1 + {sin}^{2}a } \\ \\ \implies \: \frac{2}{2 {sin}^{2}a - 1 } \\ \\ hence \: proved$

Answer 2

Answer:

who are you

Step-by-step explanation:

you haven't given me thanks...