The value of $\frac{\sec 8 \theta-1}{\sec 4 \theta-1}$ is

$\frac{\tan 2 \theta}{\tan 8 \theta}$

$\frac{\tan 8 \theta}{\tan 4 \theta}$

$\frac{\tan 6 \theta}{\tan 2 \theta}$

JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1

The value of

\frac{\sec 8 \theta-1}{\sec 4 \theta-1}

View answer and explanation

Correct option: C

\frac{\tan 8 \theta}{\tan 2 \theta}

Option C (

\frac{{\tan 8 \theta}}{{\tan 2 \theta}}

) is correct because the expression simplifies to

\frac{{\tan 8 \theta}}{{\tan 2 \theta}}

using trigonometric identities.

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