Question

prove that (sec theta + Cos theta) (Sec theta- cos theta) = Tan²Theta + Sin²theta.

Answer 1

hey here is your answer please mark me as brain list .

Answer 2

Hii friend,

(sectheta+ costheta)(sectheta-costheta) = Tan²Theta + Sin²theta.

LHS = (sectheta+costheta)(sectheta-costheta)

=> (Sec² theta - Cos²theta)

=> (Tan²Theta+1- Cos²theta)

=> Tan²Theta+ Sin²theta). = RHS


Hence,

LHS = RHS .... PROVED...


HOPE IT WILL HELP YOU...... :-)