If θ is a positive acute angle and tan2 θ tan 3 θ = 1, then the value of θ is:
Answer & explanation
Correct answer: option 2
We know,
tanP . tanQ = 1
if and only if P + Q = 90º
Given :-
tan2 θ tan 3 θ = 1
So, 2θ + 3θ = 90º
5θ = 90º
θ = 18º
If θ is a positive acute angle and tan2 θ tan 3 θ = 1, then the value of θ is:
Correct answer: option 2
We know,
tanP . tanQ = 1
if and only if P + Q = 90º
Given :-
tan2 θ tan 3 θ = 1
So, 2θ + 3θ = 90º
5θ = 90º
θ = 18º