Question

2 multiple choice 12 points (-3,-4) is a point on the terminal side of an angle in standard position. what is the value of cosθ? -4/5 -3/5 3/4 3/5

Explanation:

Step1: Calculate the radius \(r\)

For a point \((x,y)\) on the terminal side of an angle, \(r=\sqrt{x^{2}+y^{2}}\). Here \(x = - 3\), \(y=-4\), so \(r=\sqrt{(-3)^{2}+(-4)^{2}}=\sqrt{9 + 16}=\sqrt{25}=5\).

Step2: Use the cosine formula

The formula for \(\cos\theta=\frac{x}{r}\). Substituting \(x=-3\) and \(r = 5\), we get \(\cos\theta=\frac{-3}{5}\).

Answer:

\(\frac{-3}{5}\) (corresponds to the second option \(\frac{-3}{5}\))