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Aptitude · Q262

Trigonometry

Competitive Exams · Aptitude · question 262

Q262

If tan4θ = cot(40° - 2θ), then θ is equal to:

A.
20°
B.
25°
Answer
C.
35°
D.
30°

Answer: Option B

Solution

Answer: Option B
Solution:
tan4θ = cot(40° - 2θ)
tan4θ = cot(90° - 40° + 2θ)
tan4θ = tan(50° + 2θ)
4θ = 50° + 2θ
2θ = 50°
θ = 25°