Question

(-3,4) is a point on the terminal side of an angle in standard position. what is the value of cosθ?
-3/5
-4/5
3/4
3/5
3
multiple choice 11 points
convert 140° to radians.
π/2
7π/18
7π/9
3π/5

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, use the formula \( \text{Radians}=\frac{\pi}{180}\times\text{Degrees}\).

Step2: Substitute the value of degrees

Given \( \text{Degrees} = 140^{\circ}\), then \( \text{Radians}=\frac{\pi}{180}\times140\).
Simplify \( \frac{\pi\times140}{180}=\frac{7\pi}{9}\) (divide numerator and denominator by 20).

Answer:

\(\frac{7\pi}{9}\) (the third option)