Question

If tan2θ.tan4θ =1 then value of tan3θ is ?
a) -1
b) -2
c) 3
d) 1​

Answer 1

Answer:

Hey!⭐

tan2θtan4θ=1

We know, if tanA.tanB=1 then, A+B=90∘

2θ+4θ=90∘

6θ=90∘

∴θ=15∘

Hence, tan3θ=tan45∘ =1.

Hope it will be helpful ✌️

Answer 2

Answer:

hii

your answer is here !

Step-by-step explanation:

=>tan2θ.tan4θ = 1

=>tan2θ = 1/tan4θ

=>tan2θ = cot4 θ

=>tan2θ = tan(90 - 4θ)

=>2θ = 90 - 4θ

=>6θ = 90

=>3θ = 45

=>tan3θ.tan45 = 1

=> option D is right answer !

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