Question

Angle x is an acute angle in a triangle. If cos x=4/5, then the sin x=

Answer 1

The answer is 3/5 because u need to find the missing side in order to find sin

Answer 2

`\bf \sin x =(3)/(5)`

Explanation:

Angle x is an acute angle in a triangle.

The measure of cosine angle is given to be :

`\cos x = (4)/(5)`

Now, we need to find the measure of the sine angle for the same triangle.

`\cos x = (Base)/(Hypotenuse)`

⇒ Base = 4 units and Hypotenuse = 5 units

So, Length of perpendicular = 3 units ( By using Pythagoras theorem)

`\sin x=(Perpendicular)/(Hypotenuse)\\\\\implies\bf \sin x =(3)/(5)`