If $\sec \,\,\theta = x + \frac{1}{{4x}}$, then $\sec \,\,\theta + \tan \,\,\theta = $

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

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Application +4 | -1

\sec \,\,\theta = x + \frac{1}{{4x}}

, then

\sec \,\,\theta + \tan \,\,\theta =

View answer and explanation

Correct option: B

2x,\,\,\frac{1}{{2x}}

Option B (

2x,\,\frac{1}{{2x}}

) is correct because by using the identity

\sec^2 \theta - \tan^2 \theta = 1

and solving the resulting equations, we find that

\sec \theta + \tan \theta

can be either

2x

\frac{1}{{2x}}

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