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9 sec^2A – 9 tan^2A = (A) 1 (B) 9 (C) 8 (D) 0
Introduction to Trigonometry
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16/06/2021 10:58 am
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Choose the correct option. Justify your choice.
9 sec2A – 9 tan2A =
(A) 1
(B) 9
(C) 8
(D) 0
Answer
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1 Answer
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16/06/2021 11:01 am
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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