If sin4θ + cos4θ = 2 sin2θ cos2θ,

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If sin⁴θ + cos⁴θ = 2 sin²θ cos²θ, θ is an acute angle, then the value of tan θ is

1. 1
2. 2
3. √2
4. 0

Correct Option: A

sin⁴ θ + cos⁴ θ = 2 sin² θ. cos²θ
⇒ sin⁴ θ + cos⁴ θ
– 2 sin² θ. cos² θ = 0
⇒ (sin² θ – cos² θ)² = 0
⇒ sin² θ – cos² θ = 0
⇒ sin² θ = cos² θ
= tan² θ = 1
⇒ tan θ = + 1
∵ θ is acute angle.