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(sec 2A + 1) sec2 A = ______. -

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Question

(sec 2A + 1) sec2 A = ______.

Options

  • sec A

  • 2 sec A

  • sec 2A

  • 2 sec 2A

MCQ
Fill in the Blanks

Solution

(sec 2A + 1) sec2 A = 2 sec 2A.

Explanation:

(sec 2A + 1) sec2 A

= `((1 + tan^2 A)/(1 - tan^2 A) + 1)(1 + tan^2 A)`

= `(2(1 + tan^2 A))/(1 - tan^2 A)`

= 2 sec 2A

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Trigonometric Functions of Triple Angle
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