Without using table, calculate the value of 1 + sec2 30o
A
2\(\frac{1}{3}\)
B
\(\frac{2}{15}\)
C
\(\frac{5}{3}\)
D
3\(\frac{1}{2}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
1 + sec2 30o = sec 30o
= \(\frac{2}{\sqrt{3}}\)
\(\frac{(2)^2}{3}\)
= \(\frac{4}{3}\)
1 + sec2 30o = sec 30o
= 1 + \(\frac{4}{3}\)
= 2\(\frac{1}{3}\)
Source: Myschool Past Questions Archive (Record #32264)