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

Find all solutions of 3 - tan=0.Solutiongiven sqrt( 3 ) - tan(theta) = 0 tan( theta) = sqrt(3 ) / 1 tan(theta) = opp / adj By pythogorous theorem opp = sqrt(3)

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