Question

Point P(-3,4) is on the terminal side of an angle theta. Which of the following is the exact value of cos theta?

Answer 1

-3/5

Explanation:

I took the test,

for work, look up the question on Chegg.

Answer 2

Therefore,

`\cos \theta=-3`

Explanation:

Unit Circle:

In mathematics, a unit circle is a circle with a unit radius. Frequently, especially in trigonometry, the unit circle is the circle of radius one centered at the origin (0, 0) in coordinate System.

So the coordinate of point P on the circle is given as,

`P(x,y)=(r\cos \theta,r\sin \theta)`

Here,

Given:

P(-3,2)

So if Radius is one unit i.e r = 1 then on Comparing we get

`P(-3,2)=(\cos \theta,\sin \theta)`

∴
`\cos \theta=-3`

Therefore,

`\cos \theta=-3`