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fredd [130]
3 years ago
12

Explain why domain restrictions for inverse trigonometric functions are necessary​

Mathematics
1 answer:
luda_lava [24]3 years ago
8 0

ANSWER

The domain of the trigonometric functions must be restricted in order to become invertible.

EXPLANATION

Trigonometric functions are periodic functions.

This functions are not invertible over the entire domain of the real numbers because they fail the horizontal line test.

However if we restrict the domain of trigonometric functions, they will now pass the horizontal line test and hence become invertible.

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Answer:

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               ⇒a²-16

Even when we solve it by the regular method of solving polynomials we get a²-16 as answer as there and thats the proof for the identity.

(a+b)(a-b)=a(a-4)+4(a-4)

⇒a²-4a+4a-16

⇒a²-16[NOTE:-4a+4a=0]

Thus we can see that a²-16 is the answer we get when we try to solve it by regular polynomial solution tooo.

And a²-16 is the polynomial from which we get (a+4)(a-4)

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