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Find All Solutions to the Equation sin⁡(cos⁡x)=0\sin ( \cos x ) = 0

Question 288

Multiple Choice

Find all solutions to the equation.
- sin⁡(cos⁡x) =0\sin ( \cos x ) = 0


A) {π2+2nπ,nπ∣n=0,±1,±2,….}\left\{ \frac { \pi } { 2 } + 2 n \pi , n \pi \mid n = 0 , \pm 1 , \pm 2 , \ldots . \right\}
B) {π2+2nπ∣n=0,±1,±2,….}\left\{ \frac { \pi } { 2 } + 2 n \pi \mid n = 0 , \pm 1 , \pm 2 , \ldots . \right\}
C) {π2+nπ∣n=0,±1,±2,….}\left\{ \frac { \pi } { 2 } + \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}
D) {nπ∣n=0,±1,±2,….}\{ \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \}

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