CUET Preparation Today
CUET
General Test
Quantitative Reasoning
Trigonometry
If tan2θ tan4θ = 1, then value of tan3θ is
1
1/3
2
tanθ
tan2θ.tan4θ = 1
⇒ tan2θ = \(\frac{1}{tan4θ}\)
⇒ tan2θ = cot4θ
⇒ 2θ = 90 - 4θ
⇒ 6θ = 90
θ = 15°
tan3θ = tan (3 × 15°) = tan45° = 1
