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

question 256

Multiple Choice

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

• A) \(\left\{ \frac { \pi } { 4 } + 2 \mathrm { n } \pi , \frac { 7 \pi } { 4 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}\)
• B) \(\left\{ \frac { \pi } { 4 } + n \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots \right\}\)
• C) \(\left\{ \frac { \pi } { 2 } + \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}\)
• D) \(\left\{ \frac { 3 \pi } { 4 } + 2 \mathrm { n } \pi , \frac { 5 \pi } { 4 } + 2 \mathrm { n } \pi \mid \mathrm { n } = 0 , \pm 1 , \pm 2 , \ldots . \right\}\)

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