The value of (cosec A + cot A + 1)(

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of (cosec A + cot A + 1)(cosec A − cot A + 1) − 2 cosec A is:

Options:

2 cosec A

4 cosec A

Correct Answer:

Explanation:

(cosec A + cot A + 1)(cosec A − cot A + 1) − 2 cosec A

Put A = 90º

= (cosec 90º + cot 90º + 1)(cosec 90º − cot 90º + 1) − 2 cosec 90º

= (1 + 0 + 1)(1 − 0 + 1) − 2

= 2