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9 sec^2A – 9 tan^2A = (A) 1 (B) 9 (C) 8 (D) 0

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Choose the correct option. Justify your choice.

9 sec2A – 9 tan2A =

(A) 1

(B) 9

(C) 8

(D) 0

1 Answer
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Correct option: (B) 9

Explanation:

Take 9 outside, and it becomes

9 sec2A – 9 tan2A

= 9 (sec2A – tan2A)

= 9×1 = 9             (∵ sec2 A – tan2A = 1)

Therefore, 9 sec2A – 9 tan2A = 9

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