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9 sec^2 A - 9 tan^2 A = (A) 1 (B) 9 (C) 8 (D) 0 choose the best option amnd

9 sec^2 A  - 9 tan^2 A =
 
(A) 1 (B) 9 (C) 8 (D) 0
choose the best option amnd

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Option (B) is correct.

Justification:

Take 9 outside,
and it becomes 9 sec^2 A - 9 tan^2 A

= 9 (sec^2 A - tan^2 A)
=9
∵sec^2 A - tan^2 A = 1

Therefore,
9 sec2A - 9 tan2A = 9

Thanks

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