Evaluate \(\int_{0} ^{\frac{\pi}{2}} \sin x \mathrm d x\)
A
-2
B
2
C
1
D
-1
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\int_{0} ^{\frac{\pi}{2}} \sin x \mathrm d x\)
= \(- \cos x |_{0} ^{\frac{\pi}{2}\)
= \(- \cos (\frac{\pi}{2}) - (- \cos 0)\)
= \(0 + 1\)
= 1
Source: Myschool Past Questions Archive (Record #54927)