( 0,\ \pi/3,\ \pi,\ 5\pi/3 ). Type 4: Equation with tangent Example: ( \tan(2x) = 1 ) in ( [0, 2\pi) ).

Let ( t = 2x ). Solve ( \tan t = 1 ). Principal value: ( t = \pi/4 ). Tangent period is ( \pi ): ( t = \pi/4 + k\pi ). Thus ( 2x = \pi/4 + k\pi \Rightarrow x = \pi/8 + k\pi/2 ).

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).

1. What is a Trigonometric Equation? A trigonometric equation is an equation where the unknown variable appears as the argument of one or more trigonometric functions (sine, cosine, tangent, etc.).

Generate 0.1763 s 9

Ecuaciones Trigonometricas 1 Bachillerato Info

( 0,\ \pi/3,\ \pi,\ 5\pi/3 ). Type 4: Equation with tangent Example: ( \tan(2x) = 1 ) in ( [0, 2\pi) ).

Let ( t = 2x ). Solve ( \tan t = 1 ). Principal value: ( t = \pi/4 ). Tangent period is ( \pi ): ( t = \pi/4 + k\pi ). Thus ( 2x = \pi/4 + k\pi \Rightarrow x = \pi/8 + k\pi/2 ).

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).

1. What is a Trigonometric Equation? A trigonometric equation is an equation where the unknown variable appears as the argument of one or more trigonometric functions (sine, cosine, tangent, etc.).

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