Question

In triangle abc, right angled at B , tan a = 1/root 3 . find the value of : sin A Cos C + Cos A sin C

Answer 1

Tan a =1/root 3
therefore a=30
sin30 cos60+cos30 sin 60
1/2*1/2+root 3/2* root 3/2
1/4+3/4
1

Answer 2

 tan A = 1/ root 3 = perpendicular / base

So,  perpendicular = 1 * n  (multiplied by n because there in question the ration is given)

and base = root 3 * n

Now  use Pythagoras Theorem to find hypotenuse 

It will be 2n

Now you know the values of all the three sides of triangle 

Now find sin A and cos A

Now substitute values in given equation