Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of \(\frac{cot 25° - cot 40°}{tan 50° - tan 65°}\) is?

Options:

1

0

\(\sqrt { 3}\)

-1

Correct Answer:

-1

Explanation:

\(\frac{cot 25° - cot 40°}{tan 50° - tan 65°}\) = \(\frac{tan 65° - tan 50°}{tan 50° - tan 65°}\)

(using rule; cot θ = tan (90- θ)

⇒ - \(\frac{tan 50° - tan 65°}{tan 50° - tan 65°}\) = -1