Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of $\tan 35^{\circ} \cot 40^{\circ} \tan 45^{\circ} \cot 50^{\circ} \tan 55^{\circ}$.

Options:

$\frac{1}{\sqrt{2}}$

$\frac{1}{2}$

-1

1

Correct Answer:

1

Explanation:

tan35º . cot40º . tan45º .cot50º  . tan55º 

{ Iff A + B = 90º  then tanA × tanB = 1  & cotA × cotB = 1 }

= tan35º . tan55º . tan45º .cot50º  . cot40º  

= 1