Find All Solutions of the Following Equation in the Interval $\sin x - 3 = \cos x - 3$

question 33

Multiple Choice

Find all solutions of the following equation in the interval [0,2π) .​ $\sin x - 3 = \cos x - 3$ ​

• A) \(\frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 }\)
• B)​ \(\frac { \pi } { 2 } , \frac { 5 \pi } { 2 }\)
• C)​ \(\frac { 3 \pi } { 4 } , \frac { 7 \pi } { 4 }\)
• D)​ \(\frac{\pi}{2}, \frac{5 \pi}{2}\)
• E)​ \(\frac { \pi } { 4 } , \frac { 5 \pi } { 4 }\)

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