Ecuaciones Trigonometricas 1 Bachillerato May 2026

Find ( k ) for ( 0 \le x < 2\pi ): ( k=0 \to \pi/8 ) ( k=1 \to \pi/8 + \pi/2 = 5\pi/8 ) ( k=2 \to 9\pi/8 ) ( k=3 \to 13\pi/8 ) ( k=4 \to 17\pi/8 = 2\pi + \pi/8 ) (too large).

Case 1: ( \sin x = 0 \Rightarrow x = 0, \pi ) in ( [0, 2\pi) ). Case 2: ( \cos x = 1/2 \Rightarrow x = \pi/3,\ 5\pi/3 ) in ( [0, 2\pi) ). ecuaciones trigonometricas 1 bachillerato

Bring all terms: ( \sin x \cos x - \frac12\sin x = 0 ) ( \sin x (\cos x - 1/2) = 0 ) Find ( k ) for ( 0 \le