Question

Solve the equation.
sin x = tan x

Answer 1

First write tan x in the form of sin x/ cos x

$\sin(x) = \tan(x) \\ \\ \sin(x) = \frac{ \sin(x) }{ \cos(x) } \\ \\ 1 = \frac{1}{ \cos(x) } \\ \\ \cos(x) = 1 \\ \\ x = {cos}^{ - 1} (1) \\ \\ x = {cos}^{ - 1} (cos \: 0) \\ \\ x = 0$
as the principal value branch of cos -1 is [0,π]

Answer 2

Answer:First write tan x in the form of sin x/ cos x

\sin(x) = \tan(x) \\ \\ \sin(x) = \frac{ \sin(x) }{ \cos(x) } \\ \\ 1 = \frac{1}{ \cos(x) } \\ \\ \cos(x) = 1 \\ \\ x = {cos}^{ - 1} (1) \\ \\ x = {cos}^{ - 1} (cos \: 0) \\ \\ x = 0

as the principal value branch of cos -1 is [0,π]

Step-by-step explanation: