Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Simplify the following expression: $cosec^4A(1-cos^4 A) - 2 cot^2 A-1$

Options:

$sin^2A$

$cosec^2A$

1

0

Correct Answer:

0

Explanation:

cosec4A(1 - cos4A ) - 2cot2A - 1

= cosec4A(1 - cos2A )(1 + cos2A ) - cot2A- cot2A - 1 

= cosec2A(1 + cos2A ) - cot2A - cosec2A

{ (1 - cos2A ) = sin2A & cot2A + 1  = cosec2A }

= cosec2A + cot2A - cot2A - cosec2A

= 0