Given both θ and φ are acute angles = 1 2 , = 1 3 , then the value of θ + φ belongs to
Mathematics · JEE Advanced · NTA Exams — Trigonometry
Given both θ and φ are acute angles \(\sin \theta=\frac{1}{2}, \cos \phi=\frac{1}{3}\), then the value of θ + φ belongs to
- \(\left(\frac{\pi}{3}, \frac{\pi}{6}\right]\)
- \(\left(\frac{\pi}{2}, \frac{2 \pi}{3}\right)\)
- \(\left(\frac{2 \pi}{3}, \frac{5 \pi}{6}\right]\)
- \(\left(\frac{5 \pi}{6}, \pi\right]\)
Answer
(B) ( 2 , 2 3 )
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