Giải các phương trình sau:
1) \( \sin x - \sqrt 3 \cos \left( {x + \pi } \right) = 2 \sin 2x \)
2) \(5{ \sin ^2}x - 2 \sin 2x + 7{ \cos ^2}x = 4 \)
A.1)\(x \in \left\{ {\frac{\pi }{5} + k2\pi ;\,\,\frac{{2\pi }}{9} + \frac{{k2\pi }}{3}|k \in Z} \right\}\).
2) \(x \in \left\{ {\frac{\pi }{4} + k\pi ;\arctan 3 + k\pi |k \in Z} \right\}\).
B.1)\(x \in \left\{ {\frac{\pi }{3} + k2\pi ;\,\,\frac{{7\pi }}{9} + \frac{{k2\pi }}{3}|k \in Z} \right\}\).
2) \(x \in \left\{ {\frac{\pi }{4} + k\pi ;\arctan 3 + k\pi |k \in Z} \right\}\).
C.1)\(x \in \left\{ {\frac{\pi }{3} + k2\pi ;\,\,\frac{{2\pi }}{9} + \frac{{k2\pi }}{3}|k \in Z} \right\}\).
2) \(x \in \left\{ {\frac{\pi }{4} + k\pi ;\arctan 3 + k\pi |k \in Z} \right\}\).
D.1)\(x \in \left\{ {\frac{\pi }{3} + k2\pi ;\,\,\frac{{2\pi }}{9} + \frac{{k2\pi }}{3}|k \in Z} \right\}\).
2) \(x \in \left\{ {\frac{\pi }{4} - k\pi ;\arctan 3 + k\pi |k \in Z} \right\}\).
1) \( \sin x - \sqrt 3 \cos \left( {x + \pi } \right) = 2 \sin 2x \)
2) \(5{ \sin ^2}x - 2 \sin 2x + 7{ \cos ^2}x = 4 \)
A.1)\(x \in \left\{ {\frac{\pi }{5} + k2\pi ;\,\,\frac{{2\pi }}{9} + \frac{{k2\pi }}{3}|k \in Z} \right\}\).
2) \(x \in \left\{ {\frac{\pi }{4} + k\pi ;\arctan 3 + k\pi |k \in Z} \right\}\).
B.1)\(x \in \left\{ {\frac{\pi }{3} + k2\pi ;\,\,\frac{{7\pi }}{9} + \frac{{k2\pi }}{3}|k \in Z} \right\}\).
2) \(x \in \left\{ {\frac{\pi }{4} + k\pi ;\arctan 3 + k\pi |k \in Z} \right\}\).
C.1)\(x \in \left\{ {\frac{\pi }{3} + k2\pi ;\,\,\frac{{2\pi }}{9} + \frac{{k2\pi }}{3}|k \in Z} \right\}\).
2) \(x \in \left\{ {\frac{\pi }{4} + k\pi ;\arctan 3 + k\pi |k \in Z} \right\}\).
D.1)\(x \in \left\{ {\frac{\pi }{3} + k2\pi ;\,\,\frac{{2\pi }}{9} + \frac{{k2\pi }}{3}|k \in Z} \right\}\).
2) \(x \in \left\{ {\frac{\pi }{4} - k\pi ;\arctan 3 + k\pi |k \in Z} \right\}\).
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Hóa Học lớp 12
