Which of the following is the principal value branch of \[\mathbf{cose}{{\mathbf{c}}^{-\mathbf{1}}}~\mathbf{x}\]? (a) \[\left( -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right)\] (b) \[\left[ \mathbf{0},\text{ }\mathbf{\pi } \right]\text{ }\text{ }\left\{ \mathbf{\pi }/\mathbf{2} \right\}\] (c) \[\left[ -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right]\] (d) \[\left[ -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right]\text{ }\text{ }\left\{ \mathbf{0} \right\}\]

Which of the following is the principal value branch of

$\mathbf{cose}{{\mathbf{c}}^{-\mathbf{1}}}~\mathbf{x}$

? (a)

$\left( -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right)$

(b)

$\left[ \mathbf{0},\text{ }\mathbf{\pi } \right]\text{ }\text{ }\left\{ \mathbf{\pi }/\mathbf{2} \right\}$

(c)

$\left[ -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right]$

(d)

$\left[ -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right]\text{ }\text{ }\left\{ \mathbf{0} \right\}$

Which of the following is the principal value branch of

$\mathbf{cose}{{\mathbf{c}}^{-\mathbf{1}}}~\mathbf{x}$

? (a)

$\left( -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right)$

(b)

$\left[ \mathbf{0},\text{ }\mathbf{\pi } \right]\text{ }\text{ }\left\{ \mathbf{\pi }/\mathbf{2} \right\}$

(c)

$\left[ -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right]$

(d)

$\left[ -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right]\text{ }\text{ }\left\{ \mathbf{0} \right\}$

The correct option is (d)

$\left[ -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right]\text{ }\text{ }\left\{ \mathbf{0} \right\}$

According to the principal branch of

$\mathbf{cose}{{\mathbf{c}}^{-\mathbf{1}}}~\mathbf{x}$

$\left[ -\mathbf{\pi }/\mathbf{2},\text{ }\mathbf{\pi }/\mathbf{2} \right]\text{ }\text{ }\left\{ \mathbf{0} \right\}$

Sign up now and study all subjects for free