Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of $\frac{3}{5}(sec^220^o - cot^270^o)$?

Options:

4/3

5/3

2/5

3/5

Correct Answer:

3/5

Explanation:

$\frac{3}{5}(sec^220^o - cot^270^o)$

{ using , secA = cosecB  Iff A + B = 90º  }

= $\frac{3}{5}(cosec^270^o - cot^270^o)$

{ We know,  cosec²A - cot²A = 1 }

= $\frac{3}{5}(1)$

= $\frac{3}{5}$