[ 1 + \(\frac{cot^2A}{1 + cosec A}\

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Home Questions 2QXX44QVCU

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

[ 1 + \(\frac{cot^2A}{1 + cosec A}\)] [ \(\frac{tan^2 A}{sec A - 1}\) - 1] = ?

Options:

2cos2A

2sin2A

2tan2A

2cosec2A

Correct Answer:

2cosec2A

Explanation:

[ 1 + \(\frac{(cosec A -1) (1 + cosec A)}{(1 + cosec A)}\)] [ \(\frac{(sec A - 1)(sec A+1)}{(sec A- 1)}\) - 1]

= cosec A × sec A

= 2cosec2A