Question

Please help using identities

(2tan30)/(1-tan^2 30)

Answer 1

[sin/cos] / [ 1 - sin^2/cos^2 ]

sin cos / [cos^2-sin^2]

sqrt3/4 / [ 3/4 - 1/4 ]

(1/2) sqrt 3

Answer 2

Remember your double-angle formulas. You have

tan(2*30) = √3

Reiny dropped the 2 in the numerator...

Answer 3

oops, sorry Reiny...