** **Consider the vector ** v** = (5,8).

Write ** v** in the form (|

**|cos**

*v**θ*|

**|sinθ).**

*v*### 1 Answer | Add Yours

We need to know the magnitude of v and the angle it makes with the x-axis.

To solve for magnitude:

`|v|=sqrt(5^2+8^2)=sqrt(89)`

For the angle it makes with the x axis:

`costheta=5/sqrt(89) -> theta=58`

Therefore, the vecotr in the form `(|v|costheta,|v|sintheta)` is:

`(sqrt89cos58,sqrt89sin58)`

**Sources:**

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes