JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Hard

1 of 1

Analyzing +4 | -1

y = \frac{{{{\sec }^2}\theta \,\, - \,\,\tan \theta }}{{{{\sec }^2}\theta \,\, + \,\,\tan \theta }}

, then

View answer and explanation

Correct option: A

\frac{1}{3} < y < 3

Option A (

\frac{1}{3} < y < 3

) is correct because by substituting

x = \tan \theta

and analyzing the resulting quadratic equation, we find that the range of y is between

\frac{1}{3}

and 3.

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C

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