Question

If tan x = .76 and cos x = .22, what is sin x?

Answer 1

The value of
`\sin x=0.1672`

Explanation:

Given : If
`\tan x = 0.76` and
`\cos x = 0.22`

To find : What is
`\sin x`?

Solution :

We know that,

`\tan x=(\sin x)/(\cos x)`

or we can re-write as,

`\sin x=\tan x*\cos x`

Substitute the value of
`\tan x = 0.76` and
`\cos x = 0.22`

`\sin x=0.76*0.22`

`\sin x=0.1672`

Therefore, The value of
`\sin x=0.1672`

Answer 2

sin x = tan x times cos x

0.76 * 0.22 = 0.167

round the answer as needed ( you don't say how it needs to be rounded)