Q237
If sec4θ = cosec(θ + 20°), then θ is equal to:
A.
22°
B.
18°
C.
14°
AnswerD.
20°
Answer: Option C
Solution
Answer: Option C
Solution:
sec4θ = cosec(θ + 20°)sec4θ = sec[90° - (θ + 20°)]
sec4θ = sec(70° - θ)
4θ = 70° - θ
5θ = 70°
θ = 14°