Question

An image of a right triangle is shown with an angle labeled x. If tan x° = 11 divided by r and cos x° = r divided by s, what is the value of sin x°?

Answer 1

Sin x = 11/s because it’s opposite/hypotenuse.

Answer 2

`sin(x)=(11)/(s)`

Explanation:

we know that

In a right triangle

the tangent of an angle is equal to divide the opposite side of the angle by the adjacent side of the angle

the function cosine of an angle is equal to divide the adjacent side of the angle by the hypotenuse

the function sine of an angle is equal to divide the opposite side of the angle by the hypotenuse

so

In this problem we have

`tan(x)=(11)/(r)`

the opposite side angle x is equal to
`11\ units`

the adjacent side angle x is equal to
`r\ units`

`cos(x)=(r)/(s)`

the adjacent side angle x is equal to
`r\ units`

the hypotenuse is equal to
`s\ units`

Hence

`sin(x)=(11)/(s)`