3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take?
Sin2014x + Cos2014x = 1, x in the range of [-5π, 5π], how many values can x take?
Consider a regular hexagon ABCDEF. There are towers placed at B and D. The angle of elevation from A to the tower at B is 30 degrees, and to the top of the tower at D is 45 degrees. What is the ratio of the heights of towers at B and D?
Find the maximum and minimum value of 8 cos A + 15 sin A + 15
If cos A + cos2 A = 1 and a sin12 A + b sin10 A + c sin10 A + d sin6 A - 1 = 0. Find the value of a+b/c+d