Question

Trigonometry
Trigonometric Equations
csc x cot x + cot x = 0; x [ 0, 2π ]

Answer 1

x = π/2, 3π/2

Explanation:

cosecxcotx + cotx = 0

cotx(cosecx + 1) = 0

cotx = 0

x = π/2,

π + π/2 = 3π/2

cosecx = -1

x = 3π/2

x = π/2, 3π/2

Answer 2

x=π/2 ,3π/2

Explanation:

cot x(csc x+1)=0

either cot x=0

tanx=∞=tan (π/2)

x=π/2

or csc x=-1

or sin x=-1=-sin (π/2)=sin (π+π/2)=sin (3π/2)

x=3π/2