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Question

Choose the correct option. Justify your choice. 9sec2A-9tan2A=


A

1

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B

9

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C

8

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D

0

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Solution

The correct option is B

9


Determine the correct option.

The explanation for the correct option:

We know that, sec2A-tan2A=1.

Factor out 9 in the given equation and use the above identity:

9sec2A-9tan2A=9sec2A-tan2A=91∵sec2A-tan2A=1=9

Therefore, 9sec2A-9tan2A=9.

We know that, sec2A-tan2A=1.

Factor out 9 in the given equation and use the above identity:

9sec2A-9tan2A=9sec2A-tan2A=91∵sec2A-tan2A=1=9

Therefore, 9sec2A-9tan2A=9

Hence, the correct option is (B) i.e, 9.

The explanation for the incorrect option:

since the value determined 9sec2A-9tan2A=9 is not equal to the value mentioned in Option A, Option C, and Option D.

Option A, Option C, and Option D are an incorrect options.

Hence, the correct option is (B) i.e, 9.


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