Question

tan (A+B) = tan A + tan B /1- tan A tan B evaluate tan 75​

Answer 1

Step-by-step explanation:

tan 75 = tan (45+30)

tan (45+30) = tan45 + tan 30

____________

1 - tan 45 tan 30

tan 75 = 1 + 1 /root3. ( 1 + 1 / root 3)

_________ ×____________

1 - 1 / root3. ( 1 + 1 / root 3)

tan 75 = 1 + 1 / 3 + 2 / root 3

________________

1 - 1 / 3

tan 75 = 4 / 3 + 2 /root 3

______________

2 / 3

afterwards u can take root 3 common from both denominator and numerator and cancel it to find exact answer... even this much is well enough...

Answer 2

Answer:

tan75°=tan(30°+45°)

Step-by-step explanation:

tan(30°+45°)=tan30+tan45° ÷ 1-tan30 tan45

= (1/√3+1) ÷ [1 - (1/√3)(1)]

= √3+1 / √3-1 is the ans.