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

Question 256

Multiple Choice

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


A) {π4+2nπ,7π4+2nπ∣n=0,±1,±2,…}\left\{ \frac { \pi } { 4 } + 2 \mathrm { n } \pi , \frac { 7 \pi } { 4 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}
B) {π4+nπ∣n=0,±1,±2,…}\left\{ \frac { \pi } { 4 } + n \pi \mid \mathrm { 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) {3π4+2nπ,5π4+2nπ∣n=0,±1,±2,….}\left\{ \frac { 3 \pi } { 4 } + 2 \mathrm { n } \pi , \frac { 5 \pi } { 4 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}

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