07. Progressions question bank (Maths)

If \( \cos A + \cos C = 4 \sin^2 \frac{B}{2} \), then the sides \( a, b, c \) of the triangle are in

If \( \cos \alpha + \cos \beta = \frac{3}{2} \) and \( \sin \alpha + \sin \beta = \frac{1}{2} \) and \( \theta \) is the arithmetic mean of \( \alpha \) and \( \beta \), then \( \sin 2\theta + \cos 2\theta \) is equal to