Question

Find the exact value of tan A in simplest radical form.

Answer 1

tan A = √(3)/3

`tan A=(√(3) )/(3)`

Step-by-step 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

`tan A=(√(3) )/(3)`