Ejercicios Trigonometria 1 10 Bach

Convert: a) (120^\circ) to radians
b) (\frac5\pi6) to degrees

Hint: Multiply by (\frac\pi180) for degrees → radians, or (\frac180\pi) for radians → degrees.

Resuelve: 2 sen x – 1 = 0 para 0° ≤ x < 360°. ejercicios trigonometria 1 10 bach

Solución: Despejamos: 2 sen x = 1 → sen x = 1/2. Sabemos que sen 30° = 1/2 y sen 150° = 1/2. Soluciones: x = 30°, 150°.

They might include:

If a student struggles with these exercises, the bottleneck is rarely memorization—it’s usually angle location on the unit circle. Spend extra time on Exercises 4-6. A common mistake in Exercise 5 is forgetting that cosine is negative in Quadrant II, leading to a sign error.

For Exercise 10, remind them: ( \sin^2 x = \frac14 ) means ( \sin x = \pm \frac12 ). They must solve for both cases—this is where many lose points. Convert: a) (120^\circ) to radians b) (\frac5\pi6) to

Sabemos que sen 30° = 1/2. Calcula cos 60° y tan 60° usando relaciones de complementarios.

Solución: cos 60° = sen(90° – 60°) = sen 30° = 1/2. tan 60° = sen 60° / cos 60°. Sabemos sen 60° = cos 30° = √3/2. Entonces tan 60° = (√3/2) / (1/2) = √3. Resuelve: 2 sen x – 1 = 0 para 0° ≤ x < 360°