If sec x = cosec (2x – 45°), 0° < x < 90°, then x is equal to:
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 45°.
We know that, sec x = cosec(90° − x)
According to the question,
sec x = cosec(2x − 45°)
⇒ cosec(90 − x) = cosec(2x − 45°)
⇒ (90 − x) = (2x − 45°)
⇒ 3x = 135
⇒ x = 45°