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Sin8A+sin2Acos2A-cos8A is equal to ______ -

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Question

`(sin8A + sin2A)/(cos2A - cos8A)` is equal to ______ 

Options

  • tan 2A

  • cot 2A

  • tan 3A

  • cot 3A

MCQ
Fill in the Blanks

Solution

`(sin8A + sin2A)/(cos2A - cos8A)` is equal to cot 3A.

Explanation:

`(sin8A + sin2A)/(cos2A - cos8A) = (2.sin5A.cos3A)/(2.sin5A.sin3A) = cot 3A` 

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Trigonometric Functions of Sum and Difference of Angles
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