Question

THE INVERSE OF A COSINE FUNCTION IS DEFINED IN THE INTERVALS

(a) [-π, 0]
(b) [-π/2, 0]
(c) [ 0, π/2]
(d) [π/2, π]​​

Answer 1

Answer:

option a ,since the inverse of cos graph is defined over different intervals- -2pi- theta,, 2pi+theta, -theta , theta and so on

Step-by-step explanation:

Answer 2

Given : THE INVERSE OF A COSINE FUNCTION

To Find : Choose the interval in which it  defined

(a) [-π, 0]

(b) [-π/2, 0]

(c) [ 0, π/2]

(d) [π/2, π]​​

Solution:

Principal range for inverse of cosine function is

[0 , π]

also we  know that cos(-x)  =   cosx

Hence if  invers of cosine function is  defined in [0 , π]

then it is also defined in [-π, 0]

from the given options

(a) [-π, 0]  is correct

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