Question

If A is in the third quadrant and 4tan A and 4tan A = 3. find 4sin A + 3cos A + 5sin

Answer 1

tan A=3/4=P/B

perpendicular =3

base =4

hypotenuse ^2=4^2+3^2

=16+9

=25

hypotenuse =25^1/2

= 5

sinA =3/5

cos A=4/5

4×3/5+3×4/5+5×3/5

12/5+12/5+3

24/5+3

24+15/5

39/5