JAMB - Mathematics (1985 - No. 31)

Without using table, calculate the value of 1 + sec2 30o
2\(\frac{1}{3}\)
\(\frac{2}{15}\)
\(\frac{5}{3}\)
3\(\frac{1}{2}\)

Explanation

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\(\frac{1}{3}\)

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