Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

$\frac{secθ+tanθ}{secθ-tanθ}$ is equal to:

Options:

$\frac{1}{secθ-tanθ}$

$\frac{1}{secθ+tanθ}$

$(secθ+tanθ)^2$

$(secθ-tanθ)^2$

Correct Answer:

$(secθ+tanθ)^2$

Explanation:

$\frac{secθ+tanθ}{secθ-tanθ}$

= \(\frac{secθ+tanθ }{secθ-tanθ}\) × \(\frac{secθ+tanθ }{secθ+tanθ}\)

= \(\frac{ (secθ+tanθ)² }{sec²θ-tan²θ}\)

We know , sec²θ - tan²θ = 1

=  \(\frac{ (secθ+tanθ)² }{1}\)

= (secθ+tanθ)²