kimmykincade7
contestada

Which of the following inverse functions are defined for x=-1/2? Select all that apply.
(select 4)

A. [tex]y=cos^{-1} x[/tex]
B. [tex]y=cot^{-1} x[/tex]
C. [tex]y=csc^{-1} x[/tex]
D. [tex]y=sec^{-1}x[/tex]
E. [tex]y=sin^{-1}x[/tex]
F. [tex]y=tan^{-1} x[/tex]

Respuesta :

znk

Answer:

A, B, E, and F Ā 

Step-by-step explanation:

sinx and cosx are defined for all values of x. So, sinā»Ā¹x and cosā»Ā¹x Ā are also defined for all values of x. Ā 

A and E are correct.

tanx is defined for all values of x.

However, tan(nĻ€) = 0 at when n is an integer. So, tanā»Ā¹(Ā±nx) is undefined. However, tanā»Ā¹(-Ā½x) is defined, because -Ā½ is not an integer.

B and F are correct.

C and D are wrong. Both secā»Ā¹x Ā and cscā»Ā¹x are undefined when -1 < x < 1, and -Ā½ is in this forbidden region.

Otras preguntas