Question

IIf theta=30° prove that tan2theta=2tantheta/1-tan²theta

Answer 1

Answer:

Step-by-step explanation:

tan 2 x 30 = 2 x tan 30 / 1 - tan ^2 30  (tan 60 = root 3) (tan 30 = 1/root3)

tan 60 = 2 x 1/root3 / 1 - 1/3

root3 = 2/root3 / 2/3

root3 = 3/root 3

root3 = root 3 (after rationalising)

MARK IT THE BRAINLIEST

Answer 2

Answer:

TAN2(30)=2TAN30/1-TAN²30

LHS

2(1/√3)/(1-(1/√3)²)

2/√3/(1-1/3)

2/√3/2/3= 2/√3 * 3/2

3/√3

√3

RHS

TAN2(30)

TAN60

√3=LHS

PROVED

Step-by-step explanation: