Giải các phương trình sau:
a) \(2 \sin x - 1 = 0 \).
b) \({ \sin ^2}x - \cos x + 1 = 0 \)
c) \( \sin \,x - \sqrt 3 \cos x = 1 \).
A.a) \(S = \left\{ {\frac{\pi }{2} + k2\pi ,\,\,\frac{{5\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).b)\(S = \left\{ {k2\pi ;\,k \in Z} \right\}\). c)\(S = \left\{ {\frac{\pi }{2} + k2\pi ,\frac{{7\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
B.a) \(S = \left\{ {\frac{\pi }{6} + k2\pi ,\,\,\frac{{5\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
b)\(S = \left\{ {k2\pi ;\,k \in Z} \right\}\).
c)\(S = \left\{ {\frac{\pi }{2} + k2\pi ,\frac{{7\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
C.a) \(S = \left\{ {\frac{\pi }{4} + k2\pi ,\,\,\frac{{5\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
b)\(S = \left\{ {k2\pi ;\,k \in Z} \right\}\).
c)\(S = \left\{ {\frac{\pi }{2} + k2\pi ,\frac{{11\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
D.a) \(S = \left\{ {\frac{\pi }{6} + k2\pi ,\,\,\frac{{5\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
b)\(S = \left\{ {k2\pi ;\,k \in Z} \right\}\).
c)\(S = \left\{ {\frac{\pi }{11} + k2\pi ,\frac{{7\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
a) \(2 \sin x - 1 = 0 \).
b) \({ \sin ^2}x - \cos x + 1 = 0 \)
c) \( \sin \,x - \sqrt 3 \cos x = 1 \).
A.a) \(S = \left\{ {\frac{\pi }{2} + k2\pi ,\,\,\frac{{5\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).b)\(S = \left\{ {k2\pi ;\,k \in Z} \right\}\). c)\(S = \left\{ {\frac{\pi }{2} + k2\pi ,\frac{{7\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
B.a) \(S = \left\{ {\frac{\pi }{6} + k2\pi ,\,\,\frac{{5\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
b)\(S = \left\{ {k2\pi ;\,k \in Z} \right\}\).
c)\(S = \left\{ {\frac{\pi }{2} + k2\pi ,\frac{{7\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
C.a) \(S = \left\{ {\frac{\pi }{4} + k2\pi ,\,\,\frac{{5\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
b)\(S = \left\{ {k2\pi ;\,k \in Z} \right\}\).
c)\(S = \left\{ {\frac{\pi }{2} + k2\pi ,\frac{{11\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
D.a) \(S = \left\{ {\frac{\pi }{6} + k2\pi ,\,\,\frac{{5\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
b)\(S = \left\{ {k2\pi ;\,k \in Z} \right\}\).
c)\(S = \left\{ {\frac{\pi }{11} + k2\pi ,\frac{{7\pi }}{6} + k2\pi ;\,k \in Z} \right\}\).
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