Asked by Kourt
Solve the equation.
(tan^2)3x=3
(tan^2)3x=3
Answers
Answered by
Sudheer (Edurite)
Tan^2(3x) = 3
Apply square root on both sides of the equation
tan 3x = + sqrt(3) or -sqrt(3)= tan(π /3) or - tan(π/3)
Apply inverse tangent to both sides of equation
3x = π/3 + kπ or -π/3 + kπ where k is integer
Divide both sides by 3
x = π/9 + kπ/3 or -π/9 + kπ/3 which implies
x = ±π/9 + kπ/3
Apply square root on both sides of the equation
tan 3x = + sqrt(3) or -sqrt(3)= tan(π /3) or - tan(π/3)
Apply inverse tangent to both sides of equation
3x = π/3 + kπ or -π/3 + kπ where k is integer
Divide both sides by 3
x = π/9 + kπ/3 or -π/9 + kπ/3 which implies
x = ±π/9 + kπ/3
Answered by
Mr Connor
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