Question

tan 45º
_____________
tan 30° + tan 60°​

Answer 1

1

1 +root 3

root3

1

root3 +1

root3

root3

root3+1

Answer 2

Step-by-step explanation:

tan 45°

_______________

tan 30° + tan 60°

=

tan 45°

-----------------------

cot 60 + tan 60°

=

( tan 45° = 1 as we know )

and

cot 60 = 1

-----

tan 60

therefore

1

---------------

1

----. + tan 60°

tan 60°

1

-------------

1 + (tan 60)^2

------------------

tan 60

tan 60°

------------

sec 60°

sin 60

---------

cos 60

------------------

1

-------

cos 60

so answer is sin 60° = √3/2