1.

The value of `sqrt(3) tan10^(@)+sqrt(3) tan 20^(@)+1 tan 10^(@)* tan 20^(@)` is _____A. `-1`B. `0`C. `1`D. `2`

Answer» Correct Answer - C
(i) Use `tan (A+B)=(tan A + tan B)/(1- tanA tanB)`.
(ii) Take ` tan(10^(@)+20^(@))=tan30^(@)`, i.e., `(tan10^(@)+tan20^(@))/(1-tan10^(@)* tan20^(@))=(1)/(sqrt(3))` and simplify.


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