Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $sec^2A + tan^2 A = \frac{4}{17}$, then $sec^4A - tan^A$ is equal to:

Options:

$\frac{13}{17}$

$\frac{4}{13}$

$\frac{4}{17}$

$\frac{5}{17}$

Correct Answer:

$\frac{4}{17}$

Explanation:

sec4A - tan4A

= ( sec2A - tan2A  )× ( sec2A + tan2A  )   ---(1)

we know , ( sec2A - tan2A  ) = 1

& ( sec2A + tan2A  )  = \(\frac{4 }{17}\)    ( given)

Put in equation 1

= 1 × \(\frac{4 }{17}\)

= \(\frac{4 }{17}\)