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9 is correct answer
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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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