Question

If tano = 3/2, then find the value of coso.​

Answer 1

Answer:

The value of Cos A is 3/4

Step-by-step explanation:

cos(a) =4/5

b²=√(c²-a²)

b²=√5²-4²

b=3

sin(a)=3/5

tan(a)=sin(a)/cos(a)

=3/5*5/4

=3/4

Answer 2

Answer:

The value of Cos  θ is $\frac{2}{3.6}$

Step-by-step explanation:

Tan θ = $\frac{perpendicular}{base}$

We are given that Tan θ =   $\frac{3}{2}$

On comparing

Perpendicular = 3

Base = 2

To find hypotenuse

Hypotenuse ² =  Perpendicular² + Base²

Hypotenuse ²  = 3² + 2²

Hypotenuse ²  = 9 + 4

$Hypotenuse^{2} = \sqrt{13}$  

Hypotenuse ²  = 3.6

Cos θ = $\frac{Base}{Hypotenuse}$

= $\frac{2}{3.6}$

Hence The value of Cos A is $\frac{2}{3.6}$