Question

Prove the following identity

i) tanA.cotA=1
ii) 1=secθ.cosθ

Answer 1

1) tanA * cotA = 1

LHS

tanA * (1/tanA) ( cotA = 1/tanA)

LHS = RHS

2) cosA * secA = 1

LHS

cosA * (1/cosA) ( secA = 1/cosA)

LHS = RHS

PLEASE MARK AS BRAINLIEST.

:-)

Answer 2

1)

tanA . cotA

= sinA/cosA × cosA/sinA

= 1

2)

secA . cosA

= (1/cosA) × cosA

= 1