Question

Given sine (t) = startfraction 7 over 25 endfraction for startfraction pi over 2 endfraction less-than t less-than pi, what is cos(t)? startfraction 24 over 25 endfraction startfraction 7 over 24 endfraction negative startfraction 7 over 24 endfraction negative startfraction 24 over 25 endfraction

1. MichaelMet
(d)  -24/25
Step-by-step explanation:
The given angle is in the second quadrant, where the sine is positive and the cosine is negative.

### Cosine

The relation between sine and cosine tells you …
cos(t)² = 1 -sin(t)²
cos(t)² = 1 -(7/25)² = (625 -49)/625 = 576/625
Taking the negative square root, we have …
cos(t) = -√(576/625)
cos(t) = -24/25