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

Answer:

Therefore,

$\cos \theta=-3$

Step-by-step 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,

$\cos \theta=-3$