Question

Find the possible value of cosx if cotx + cosecx=5

Answer 1

if you still need help make the substitution u=cot(x)
draw a right triangle
and write csc(x) in terms of u
you will have an algebraic equation to solve
and then finally replace u at the end with cot(x)
you would have cot(x)=a number

Answer 2

after that you can find cos(x)
you should get two possible values (a negative and a positive one)