Question

Consider this equation cos(0) = -2(square root 5)/5. If 0 is an angle in quadrant II, what is the value of sin(0)?

1) 1/5
2) -1/5
3) 2/5
4) -2/5

Answer 1

The value of sin(0) when 0 is in quadrant II is 1/5.

Step-by-step explanation:

To find the value of sin(0), we can use the trigonometric identity sin^2(0) + cos^2(0) = 1. Since we are given cos(0) = -2√5/5, we can square that value and subtract it from 1 to get sin^2(0). Then, take the square root to find sin(0).

Given that 0 is in quadrant II, cos(0) is negative. However, sin(0) will be positive in quadrant II. Therefore, the value of sin(0) is 1/5.