Question

please give the correct answer with brief explaination fast​

Answer 1

a) tan 60° - tan 30°

=√3-1/√3

= 3-1/√3

= 2 / √3

b) 1+tan60° tan 30°

= 1 + √3×1/√3

= 1+1

=2

»»» tan 30° = sin30° / cos 30° = 1/2/√3/2 = 1/√3

Answer 2

Answer:

i) tan60-tan30

(3)½-1/(3)½

(3-1)/(3)½

2/(3)½

ii) 1+tan60tan30

1+(3)½×1/(3)½

1+1

2

value of tan30= sin30/cos30

= (1/2)/[(3)½/2] = 1/(3)½