Question

tan (45 + theta) × tan (135 + theta) =1

Answer 1

LHS = tan(45 + theta)× tan(90 + (45 + theta))
=tan(45+ theta) xcot (45 + theta)
=tan(45 + theta×1/tan(45+ theta)
=1 = RHS

Answer 2

$\bold{Answer :}$

Now,

tan (45° + θ) × tan (135° + θ)

= tan (45° + θ) × tan {90° + (45° + θ)}

= tan (45° + θ) × cot (90° + θ)

= 1, since tanA cotA = 1

Hence, proved.

#$\bold{MarkAsBrainliest}$