Question

9sec2A-9tan2A is equal to ​

Answer 1

Answer:

9sec2A-9tan2A

9sec2A-9tan2A=9-9(1)²

9sec2A-9tan2A=9-9(1)²=0(1)

9sec2A-9tan2A=9-9(1)²=0(1)=0

Answer is 0

this is wrong

Answer 2

The value of the expression 9 sec² A - 9 tan² A is 9.

Given: The expression 9 sec² A - 9 tan² A.

To Find: The value of the expression 9 sec² A - 9 tan² A.

Solution:

We shall make use of trigonometrical identities to solve this numerical.

We know that,

                      sec² A = 1 + tan² A                                           ....(1)

Where A = angle in degree

Coming to the numerical we have;

The expression:

                  9 sec² A - 9 tan² A                                              .....(2)

 Now, since we need to find the value of the above expression, we shall substitute the value of (1) in (2),

              ⇒ 9 × ( 1 + tan² A ) - 9 tan² A  

              ⇒  9 + 9 tan² A  - 9 tan² A

Now, we can see that the term ' 9 tan² A ' appears with a positive and negative signs, so they can be cut off.

                ⇒  9  + 0

                ⇒  9

Hence, the value of the expression 9 sec² A - 9 tan² A is 9.

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