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CosecAcotAsinAcosec2A-cot2A1-sin2A is equal to ______. - Mathematics

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Question

`("cosec"^2 "A" - "cot"^2 "A")/(1 - "sin"^2 "A")` is equal to ______.

Options

  • sin2 A

  • cos2 A

  • sec2 A

  • tan2 A

MCQ
Fill in the Blanks

Solution

`("cosec"^2 "A" - "cot"^2 "A")/(1 - "sin"^2 "A")` is equal to sec2 A.

Explanation:

`("cosec"^2 "A" - "cot"^2 "A")/(1 - "sin"^2 "A")`

`1/"cos"^2 "A"`

`"sec"^2 "A"`

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2023-2024 (February) Basic - Outside Delhi Set 3
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