The correct option is A 9We have, 9 ^2A 9tan ^2A =9( ^2A tan ^2A) We know that ^2A tan ^2A=1 Therefore, =9× 1=9 Hence, this is the answer ...

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Opposite & Adjacent Sides in a Right Angled Triangle

9 2A - 9tan 2...

Question

$9 {sec}^{2} A - 9 {tan}^{2} A = . . . . . . . . . .$

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Solution

The correct option is A 9
We have,
$9 {sec}^{2} A - 9 {tan}^{2} A$

$= 9 ({sec}^{2} A - {tan}^{2} A)$

We know that
${sec}^{2} A - {tan}^{2} A = 1$

Therefore,
$= 9 \times 1 = 9$

Hence, this is the answer.

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