Math, asked by Sabiya28, 1 month ago

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Answers

Answered by buddy1144
2

Answer:

9 is correct answer

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Answered by varadad25
5

Question:

Choose the correct option. Justify your choice.

9 sec² A - 9 tan² A =

A) 1

B) 9

C) 8

Answer:

9 sec² A - 9 tan² A = 9

Option B)

Step-by-step-explanation:

We have given a trigonometric expression.

We have to find the value of the expression.

The given expression is 9 sec² A - 9 tan² A.

Let angle A be 0°.

sec A = sec 0° = 1

Also,

tan A = tan 0° = 0

By substituting angle A to 0° in given expression, we get,

9 sec² A - 9 tan² A

⇒ 9 ( sec² 0° ) - 9 ( tan² 0° )

⇒ 9 ( 1² ) - 9 ( 0² )

⇒ 9 * 1 - 9 * 0

⇒ 9 - 0

9

∴ The value of given trigonometric expression is 9.

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