Question

What is x? I will give brainliest if you explain your answer.

Answer 1

Answer:

• x =  {0, π/2, 3π/2, 2π}

Step-by-step explanation:

• cotx cos x - cot x = 0
• cotx( cosx - 1) = 0

1. cotx = 0

• x = π/2 + πn
• In the interval [0, 2π] we have π/2 and 3π/2

2. cosx = 1

• x  = 0 + 2πn
• In the given interval we have 0 and 2π

So the solution set is:

• x =  {0, π/2, 3π/2, 2π}