Question

sin A(1 + tan A) + Cos A(1 + cot A) = sec A+ cosec A​

Answer 1

Answer:

sin A(1 + tan A) + Cos A(1 + cot A) = sec A+ cosec A

sol:

SIN A + ( SIN A × SIN A/ COS A) + COS A + (COS A × COS A/SIN A)=

(SIN A + SIN^2 A/ COS A) + COS A + COS^2 A/ SIN A) =

(SIN A × COS A + SIN^2 A/ COS A ) +

(COS A × SIN A + COS^2 A / SIN A) =

AFTER TAKING LCM WE GET,

1/ SIN A + 1/ COS A =

SEC A + COSEC A

H.P

HOPE THIS HELPS