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AIEEE 2004

JEE Main 2004 Mathematics question on Trigonometry

Given both θ\theta and ϕ\phi are acute angles and sin⁡θ=12\sin\theta = \frac{1}{2}, cos⁡ϕ=13\cos\phi = \frac{1}{3}, then the value of θ+ϕ\theta + \phi belongs to
  1. A.
    (π3,π6)\left(\frac{\pi}{3}, \frac{\pi}{6}\right)
  2. B.
    (π2,2π3)\left(\frac{\pi}{2}, \frac{2\pi}{3}\right)
  3. C.
    (2π3,5π6)\left(\frac{2\pi}{3}, \frac{5\pi}{6}\right)
  4. D.
    (5π6,π)\left(\frac{5\pi}{6}, \pi\right)
Show answer

Correct option: B

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