What is the value of (secA + tanA - 1) (

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Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of (secA + tanA - 1) (secA - tanA + 1) ?

Options:

(1 + tan A )

2 tan A - sec A

2 tan A

2 sec A

Correct Answer:

2 tan A

Explanation:

(secA + tanA - 1) (secA - tanA + 1)

= sec²A - ( tanA - 1 )²

= sec²A - tan²A - 1 + 2tanA

{ using , sec²A - tan²A = 1 }

= 1 - 1 + 2tanA

= 2tanA