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Without using table, calculate the value of 1 + sec2 30o

Without using table, calculate the value of 1 + sec2 30o
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  • A 2\(\frac{1}{3}\)
  • B \(\frac{2}{15}\)
  • C \(\frac{5}{3}\)
  • D 3\(\frac{1}{2}\)
Correct Answer: Option A
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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