(Q16)If 3 tan A=4,then find sin A and cos A

Solution:

Let ABC is a right angle triangle

Given that: BC=4,BA=3
3tan A=4

tan A=
4
3
=
BC
AB

By using pythagoras theroem

AC2=AB2+BC2

AC2=

AC=

(i)sin A=
opposite side of A
hypotenuse
=
BC
AC
=

(ii)cos A=
adjacent side of A
hypotenuse
=
AB
AC
=