Question

Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in Example 1.
tan 75°

Answer 1

write tan 75 as tan (30+45)
and use
tan (A+B) = \(\large \frac{tanA+tanB}{1-tanAtanB}\)
where A = 30, B=45

Answer 2

know what is tan 30 and tan 45 ?

Answer 3

the tan of 30 is 1/ root 3
tan of 45 is 1

Answer 4

that is correct.

Answer 5

so its root 3 +1/1- root 3
right?

Answer 6

\(\large tan (30+45)= \frac{tan30+tan45}{1-tan30tan45}=\frac{1/\sqrt 3+1}{1-1/\sqrt 3}\)

Answer 7

so 2 - root 3

Answer 8

\(\large =\frac{1/\sqrt 3+1}{1-1\sqrt 3}= \frac{1+\sqrt 3 }{\sqrt 3-1}= \frac{(1+\sqrt 3)^2}{3-1}= ?\)

Answer 9

opps i mean 2 + root 3

Answer 10

do u have options for this ?

Answer 11

and yes, 2+ root 3 is correct

Answer 12

no its just an open question from my online hw