Question

Prove sin A / 1-cos A - tan A / 1+cos A = sec A × cosec A + cot A​

Answer 1

Step-by-step explanation:

L.H.S

SIN A /1-COS A + TAN A / 1+ COS A

SIN(1+COS A ) + TAN A (1-COS A )/ 1-COS^2 A

SIN A + SIN A . COS A + TAN A - TAN A . COS A / SIN^2A

1/SIN A +COS A / SIN A + 1/COS A + SIN A -1/SIN A

COS A / SIN A +1/ COS A .SIN A

COT A + SEC A . COSEC A = RHS

HENCE PROVED

4.2