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If tan4A = cot(A – 20°), 0° < θ < 90°, then the value of A is:

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If tan4A = cot(A – 20°), 0° < θ < 90°, then the value of A is:
1. 5°
2. 80°
3. 22°
4. 14°
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Correct Answer - Option 3 : 22°

Given :

tan4A = cot(A – 20°)

Formula used :

tanθ = cot (90° – θ)

Calculations :

cot (90° – 4A) = cot (A – 20°)

⇒ 90°– 4A = A – 20° 

⇒ 5A = 110° 

⇒ A = 22° 

∴ The value of A will be 22° 

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