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3 cos2A + 3 sin2A is equal to ______. - Mathematics

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Question

`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to ______.

Options

  • 1

  • `1/sqrt(3)`

  • `sqrt(3)`

  • 0

MCQ
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Solution

`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to `underline(bbsqrt(3))`.

Explanation:

`sqrt(3)` cos2A + `sqrt(3)` sin2A

`sqrt(3)  ((cos^2A + sin^2A))/(cos^2A + sin^2A)` = 1

`sqrt(3) xx 1 = sqrt(3)`

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