Question

If tan????=4/5, find the value of cos????-sin????/cos????+sin????

Answer 1

$\huge\boxed{\fcolorbox{green}{red}{Answer}}$

$\Large\boxed{cotx=4/3}$

which confirms that

◆. base = 4

◆. perpendicular = 3

◆. hypotenuse. = 5. ( by Pythagoras therom )

what u have to find u can usee these value.....

I hope this helps u ...☺️

Answer 2

Step-by-step explanation:

If tan theta =4/5,find the value of cos theta -sin theta /cos theta +sin theta

Tanθ = 4/5

(Cosθ - Sinθ)/(Cosθ + Sinθ)

Lets divide numerator & Denominator by Cosθ

= (1 - Sinθ/Cosθ)/(1 + Sinθ/Cosθ)

as Sinθ/Cosθ = Tanθ

= (1 - Tanθ)/(1 + Tanθ)

= (1 - 4/5)/(1 + 4/5)

= (1/5)/(9/5)

= 1/9