Find all solutions of 3 tan0Solutiongiven sqrt 3 tantheta
Find all solutions of 3 - tan=0.
Solution
given
sqrt( 3 ) - tan(theta) = 0
tan( theta) = sqrt(3 ) / 1
tan(theta) = opp / adj
By pythogorous theorem
opp = sqrt(3) adj = 1, hyp = sqrt( sqrt(3)^2 + 1^2 ) ==> 2
sin(theta) = opp / hyp ==> sqrt(3)/ 2 ==> theta= sin^-1 ( sqrt(3)/ 2 ) ==> pi/3
cos(theta) = adj / hyp ==> 1/2 ==> cos^-1( 1/2 ) ==> theta = pi/3
theta = pi/3
