Question

If tan theta = 4/3 , then find the value of sin theta + Cos theta .

Answer 1

Tan ¢ = 4/3 = Perpendicular/Base




Perpendicular = 4 and Base = 3




By Pythagoras theroem,


( Hypotenuse )² = ( Base)² + ( Perpendicular)²




( H)² = (3)² + (4)²



( H )² = 25


H = √25 = 5


Therefore,


Sin ¢ = Perpendicular/Hypotenuse = 4/5.


And,


Cos¢ = Base / Hypotenuse = 3/5.






Therefore,


Sin¢ + Cos¢ = 4/5 + 3/5 = 7/5.

Answer 2

is the answer........