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If θ be a positive acute angle satisfying sin2θ + sin4θ = 1; then the value of cot2θ + cot4θ is? |
2 1 2\(\sqrt {2 }\) 0 |
1 |
sin2θ + sin4θ = 1 ⇒ sin4θ = 1 - sin2θ ⇒ sin4θ = cos2θ ⇒ tan2θsin2θ = 1 ⇒ cot2θ = sin2θ ∴ cot2θ + cot4θ = sin2θ + sin4θ = 1 |
