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If sec4θ = cosec(θ + 20°), then θ is equal to:

A. 22°

B. 18°

C. 14°

D. 20°

Answer: Option C

Solution(By Examveda Team)

sec4θ = cosec(θ + 20°)
sec4θ = sec[90° - (θ + 20°)]
sec4θ = sec(70° - θ)
4θ = 70° - θ
5θ = 70°
θ = 14°

This Question Belongs to Arithmetic Ability >> Trigonometry

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