Explain and proof theorem 3 No link Theorem 3 Prove that if x and y are not odd - Maths - Trigonometric Functions

Question

Explain and proof theorem 3 No link
Theorem 3 Prove that if x and y are not odd mulitple of π 2 ,
then tan x = tan y implies x = n π + y, where n ∈ Z

Aarushi Mishra · Accepted Answer

x and y should not be odd multiples of π2 because at odd multiples of π2 tan is not defined
tan x=tan ytan x-tan y=0sin xcos y-sin ycos y=0sin x cos y-sin y cos xcos y cos x=0sin x cos y-sin y cos x=0sinx-y=0sin is zeroat integrat multiples of πx-y=nπ,   π∈ℤx=nπ+y,   π∈ℤ

Explain and proof theorem 3 . No link Theorem 3 Prove that if x and y are not odd mulitple of π 2 , then tan x = tan y implies x = n π + y, where n ∈ Z

Explain and proof theorem 3 . No link
Theorem 3 Prove that if x and y are not odd mulitple of $\frac{π}{2}$ , then tan x = tan y implies x = n $π$ + y, where n $\in$ Z