Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of tan4° tan43° tan47° tan86° is:

Options:

\(\sqrt {3}\)

 

\(\frac{1}{\sqrt {3}}\)

1

\(\sqrt {2}\)

Correct Answer:

1

Explanation:

tan4° tan43° tan47° tan86°

= (tan4° tan86°)  (tan43° tan47°)

*( tan (90-θ) = cotθ,  tanθ cotθ = 1)*

= (tan4° cot4°) (tan43° cot43°)

= 1 × 1 = 1