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Evaluate tan 75o; leaving the answer in surd form (radi...

Evaluate tan 75o; leaving the answer in surd form (radicals) 

A.

3+2

B.

3+1

C.

31

D.

32

Correct answer is D

Tan 75o = Tan (45o + 30o)

= tan45o+tan30o1tan45otan30o

3+131

RATIONALIZE THE DENOMINATOR

= 3+1313+13+1

4+2331

2(2+3)2

= 2 + 3