A and B are positive acute angles such that cos 2B = 3 sin² A and 3 sin 2A = 2 sin 2B. What is the value of (A + 2B)?

A survey of 850 students in a University yields that 680 students like music and…

Let [x] denote the greatest integer function. What is the number of solutions of the…

What is C(n, r) + 2C(n, r – 1) + C(n, r – 2) equal…

Consider the following statements: 1. cosθ + secθ can never be equal to 1.5. 2.…

What is the number of triangles that can be formed by choosing the vertices from…