Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If Y = tan35°, then the value of (2tan 55° + cot 55° ) is :

Options:

$\frac{2+y^2}{y}$

$\frac{2-y}{y^2}$

$\frac{2}{y^2}$

$\frac{2-y^2}{y}$

Correct Answer:

$\frac{2+y^2}{y}$

Explanation:

We know ,

tanA = cot ( 90º - A )

Now,

2tan 55° + cot 55°

= 2cot 35° + tan 35°

= 2\(\frac{1}{tan35°}\)+ tan 35°

= 2\(\frac{1}{Y}\)+ Y     { Y = tan 35° }

= \(\frac{2 + Y²}{Y}\)