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