Trigonometric Equations

Question

Use trigonometric identities and algebraic methods, as necessary, to solve the following trigonometric equation. Please identify all possible solutions by including all answers in [0,π) and indicating the remaining answers by using n to represent any integer. Round your answer to four decimal places, if necessary. If there is no solution, indicate "No Solution."

cot(x)−1=0

Enter your answer in radians, as an exact answer when possible. Multiple answers should be separated by commas.

X=____

Answer 1

cot(x) - 1= 0

cot(x) = 1

since cot(x) = 1/tan(x)

tan(x) = 1

x = pi/4

x = 5pi/4