Home › CBSE Class 11 › mathematics › Trigonometric Functions — Radian/Degree, Arc Length, Unit Circle, Quadrant Signs, Domain/Range › The RANGE of y = sec x is:
The RANGE of y = sec x is:
A(0, ∞)
B{y ∈ ℝ : y ≤ -1 or y ≥ 1}
CAll real numbers
D[-1, 1]
Answer & Solution
Correct answer: B. {y ∈ ℝ : y ≤ -1 or y ≥ 1}
sec x = 1/cos x where -1 ≤ cos x ≤ 1 and cos x ≠ 0. As |cos x| ≤ 1, |sec x| ≥ 1 → sec x ≤ -1 or sec x ≥ 1. Same structure as cosec x range.
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