math problem i sont get this please help me

Question

Consider the equation 3−cot²x=0 . Find all the values of x in the interval [0,2π] that satisfy the equation.

Note: Write the exact answer but not the approximate value (For example write 4/5 but not 0.8). Also write Pi or pi or π if there is a π in the answer.

1. Write the value of x in the interval [π,3π/2] that satisfy the equation.
2. Write the value of x in the interval [3π/2,2π] that satisfy the equation.

please help me I don't get this

Answer 1

math problem i sont get this please help me

Consider the equation 3−cot2x=0 . Find all the values of x in the interval [0,2π] that satisfy the equation.

Note: Write the exact answer but not the approximate value (For example write 4/5 but not 0.8). Also write Pi or pi or π if there is a π in the answer.

Write the value of x in the interval [π,3π/2] that satisfy the equation.

Write the value of x in the interval [3π/2,2π] that satisfy the equation.

please help me I don't get this

Hello Kal,

Solve for x:

3 - cot²x = 0

cot²x = 3

√cot²x = +/-√3

cotx = +/-√3

cosx/sinx = +/-√3

On the unit circle,

cos π/6 / sin π/6 = √3/2 / 1/2

cos 5π/6 / sin 5π/6 = -√3/2 / 1/2

cos 7π/6 / sin 7π/6 = -√3/2 / -1/2

cos 11π/6 / sin 11π/6 = √3/2 / -1/2

x = π/6, 5π/6, 7π/6, 11π/6, in the interval [0,2π]

x = 7π/6 in the interval [π,3π/2]

x = 11π/6 in the interval [3π/2,2π]