What is the value of cosec A ( 1 - cos A

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of cosec A ( 1 - cos A)( cosec A + cot A) ?

Options:

Correct Answer:

Explanation:

cosec A ( 1 - cos A)( cosec A + cot A)

= ( cosec A - cot A)( cosec A + cot A)

= ( cosec² A - cot² A )

{ we know, cosec² A - cot² A = 1 }

= 1