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Talja [164]
3 years ago
10

Which of the following inverse functions are defined for x=-1/2? Select all that apply.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
4 0

Answer:

A, B, E, and F  

Step-by-step explanation:

sinx and cosx are defined for all values of x. So, sin⁻¹x and cos⁻¹x  are also defined for all values of x.  

A and E are correct.

tanx is defined for all values of x.

However, tan(nπ) = 0 at when n is an integer. So, tan⁻¹(±nx) is undefined. However, tan⁻¹(-½x) is defined, because -½ is not an integer.

B and F are correct.

C and D are <em>wrong</em>. Both sec⁻¹x  and csc⁻¹x are undefined when -1 < x < 1, and -½ is in this forbidden region.

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