If sec2 (theta) + tan2 (theta) = 3, then the angle (theta) is equal to

If sec2 (theta) + tan2 (theta) = 3, then the angle (theta) is equal to
  • A.
    30o
  • B.
    45o
  • C.
    60o
  • D.
    90o
  • E.
    105o
Correct Answer: Option B
Explanation

sec2 (theta) + tan2 (theta) = 3
but tan2 (theta) = 1 + sec2 (theta)
1 + tan2 (theta) + tan2 (theta) = 3
2 tan2 (theta) = 2
tan2 (theta) = 1
but (theta) = 45o
tan2 45o = 12
= 1
(theta) = 45o

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