Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of $4\left[\frac{(1 - \sec A)^{2} + (1 + \sec A)^{2}}{1 + \sec^{2}A}\right]$ is :

Options:

4

1

2

8

Correct Answer:

8

Explanation:

4 [ \(\frac{ ( 1 - secA )²  + ( 1 + secA )²}{ 1 + sec²A }\) ]

= 4 [ \(\frac{ 1 + sec²A -2secA + 1 + sec²A + 2secA}{ 1 + sec²A }\) ] 

= 4 [ \(\frac{ 2+ 2sec²A  }{ 1 + sec²A }\) ]

= 8