Find the exact value of tan A in simplest radical form.
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Answer:
[tex]tan A=\frac{\sqrt{3} }{3}[/tex]
Explanation:
tan = opposite/adjacent
tan A = BC/AC
tan A = 5/√75
tan A = 5/√(25×3)
tan A = 5/5√3
tan A = 1/√3
tan A = 1/√3 × √3/√3 (rationalizing the denominator)
tan A = √(3)/3
[tex]tan A=\frac{\sqrt{3} }{3}[/tex]