Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sec θ + tanθ = 5, then what is the value of secθ - tan θ ?

Options:

1/5

1/3

1/6

1/2

Correct Answer:

1/5

Explanation:

We know that sec² θ - tan² θ = 1

⇒ (sec θ - tan θ)(sec θ + tan θ) = 1

⇒ (sec θ - tan θ)(5) = 1

(sec θ - tan  θ) = $\frac{1}{5}$