SOLUTION: What are the solutions of the equation tan(x/2)-sin(x)=0

Question 799834: What are the solutions of the equation tan(x/2)-sin(x)=0
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Given;
(1) tan(x/2) - sin(x) = 0 or
(2) tan(x/2) = sin(x)
Use the half angle idenity of the tangent function given by
(3) tan(x/2) = sin(x)/(1+cos(x))
Substitute (2) into (3) and get
(4) sin(x) = sin(x)/(1+cos(x)) or
(5) 1 = 1/(1+cos(x)) or
(6) 1+cos(x) = 1 or
(7) cos(x) = 0
(8) x = arcos(0) or
(9) x = + or - 90 and all angles + or - 180 from 90 or
Answer: where n is any integer

RELATED QUESTIONS
find all solutions of the equation in the interval [0,2pie) 2 sin x + csc x = 0 2... (answered by Alan3354,lwsshak3)

find all solutions of the equation in the interval [0,2pi) 2 sin x + csc x = 0 2... (answered by Alan3354)

What are the x's of: ((sin^2)x) +(tan)x) -1)) =... (answered by KMST)

what are the solutions of sin(4x) + sin(x) = 0 between 0 and... (answered by addingup,ikleyn)

find all solutions of the equation in the interval [0,π):... (answered by solver91311)

Use inverse functions where needed to find all solutions of the equation in the interval... (answered by stanbon)

find all solutions of the equation in the interval [0,2pi):... (answered by jim_thompson5910)

solve the equation for the solutions in the interval [0,2 pie): tan(x/2)= sin... (answered by Alan3354)

What are the solutions of sin (x - π) + 2 = 1 in [0,... (answered by ikleyn)