Find all values of x in the interval [0, 2pi] that satisfy the equation: sin x=tan x

veneciasp

veneciasp

Answered question

2022-07-13

Find all values of x in the interval [ 0 , 2 π ] that satisfy the equation:
sin x = tan x

Answer & Explanation

Jayvion Mclaughlin

Jayvion Mclaughlin

Beginner2022-07-14Added 14 answers

sin x = tan x
sin x = sin x cos x
sin x sin x cos x = 0
sin x ( 1 1 cos x ) = 0
1 1 cos x = 0
1 = 1 cos x
cos x = 1
sin x = 0 ;
x = 0 ; π ; 2 π
Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-01Added 2605 answers

Answer is given below (on video)

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