Question

Prove that Tano + 1/tano = secocoseco

Answer 1

Hi !

Solution:- from LHS

tan¢ + 1/Tan¢

or, tan²¢ + 1 /tan¢ [ °•°1+ tan²¢ = sec²¢]

or, sec²¢ /tan¢

or, 1/cos²¢ * cos¢/sin¢

or, 1/cos¢ * sin¢

or, sec¢ * cosec¢

LHS = RHS Prooved ✔

__________________

Hope it helps you !!

@Raj❤

Answer 2

Tan A +1/tan A = Sec A . Cocec A

on Solving LHS

tan²A +1 / tan A { tan²A+1= Sec² a}

Sec² A. / tan A

1/ Cos² A × Cos A / sin A

Cos A/ sin A . Cos² A

= 1/cos A. cosec A

which is Sec A. cosec A