Question

Sin a + cos a / cos a - sin a = tan 2a + sec 2a

Answer 1

Step-by-step explanation:

Sina + Cosa / Cosa - Sina

(Sina + Cosa)² / (Cosa - Sina)(Cosa + Sina)

(Sin²a + Cos²a + 2Sina*Cosa)/(Cos²a - Sin²a)

( 1 + Sin2a )/Cos2a

1/Cos2a + Sin2a/Cos2a

Sec2a + tan2a

Hence proof