Question

2tan30°/1 + tan²30° is​

Answer 1

Answer:

2tan30°/(1+tan^230°)

=tan (2×30°)

=tan 60°

=√3

Answer 2

2tan30°/1+tan^230°=2/1+1/√3 (tan30°=1/3)

=2/√3+1/√3 (taking LCM in denominator)

=2√3/√3+1

=2√3*√3-1/√3+1*√3-1 (conjugate)

=2*3-2√3/3-1

=2*3-2√3/2

=√3