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

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})
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})