Use the given conditions to find the exact value of the expression. cos α = 24/25, sin α < 0, cos (α+11π/6) me find the answer and explain how you got your answer. any is much appreciated.

Sin(α) < 0, is just another way to say that sin(α) is a negative value, and that only happens on the III and IV quadrants.

now, we know what the cosine is, so let's use that, notice that, the cosine is a positive value, and if the sine is negative, that only happens on the IV quadrant



 now let's use the sum identities, recall that 

The first one is the false statement