Find the value of cos θ if the angle θ is in the third quadrant and sinθ= -0.8

A) 233.1° B) -0.8 C) 1.0 D) -0.6

Correct option is D) -0.6.

Step-by-step explanation:

We have . Also, we know that . Let's find out value of  using above formula:

⇒

⇒

⇒

⇒

⇒

But we know that cos is negative in third quadrant , Therefore .

Hence, correct option is D) -0.6.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.