Evaluate \(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)
A
1
B
2
C
3
D
4
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\int^{\frac{\pi}{4}}_0sec^2 \theta d \theta\)
= \([\tan \theta]_{0} ^{\frac{\pi}{4}}\)
= \(\tan \frac{\pi}{4} - \tan 0\)
= \(1 - 0\)
= 1.
Source: Myschool Past Questions Archive (Record #27343)