Resuelve las siguientes ecuaciones.

• 3 csc(x - π) - 5 = 0

• 4 cos(3x) = - 1

• sen(3x - 2) = 0

• sec(πx - 2) = 2

• 2 cos(x - 3) + 1 = 0

• √3 sin(x + 4) = 1

• sin(x) - √3 cos(x) = 0

• 3 cos(x) = 2

import sympy as sp

# Variables y constantes
x = sp.Symbol('x', real=True)
k = sp.Symbol('k', integer=True)

# Ecuaciones
eq1 = sp.csc(x - sp.pi) - 5/3
eq2 = 4 * sp.cos(3 * x) + 1
eq3 = sp.sin(3 * x - 2)
eq4 = sp.sec(sp.pi * x - 2) - 2
eq5 = 2 * sp.cos(x - 3) + 1
eq6 = sp.sqrt(3) * sp.sin(x + 4) - 1
eq7 = sp.sin(x) - sp.sqrt(3) * sp.cos(x)
eq8 = 3 * sp.cos(x) - 2

# Soluciones generales para cada ecuación
sol1 = sp.solveset(eq1, x, domain=sp.S.Reals)
sol2 = sp.solveset(eq2, x, domain=sp.S.Reals)
sol3 = sp.solveset(eq3, x, domain=sp.S.Reals)
sol4 = sp.solveset(eq4, x, domain=sp.S.Reals)
sol5 = sp.solveset(eq5, x, domain=sp.S.Reals)
sol6 = sp.solveset(eq6, x, domain=sp.S.Reals)
sol7 = sp.solveset(eq7, x, domain=sp.S.Reals)
sol8 = sp.solveset(eq8, x,

Learn how to solve various trigonometric equations, including 3 csc(x - π) - 5 = 0 and 4 cos(3x) = -1. This guide covers key trigonometric concepts, periodic functions, and formulas like csc(x) = 1/sin(x) and sec(x) = 1/cos(x). Suitable for Grades 11-12 or college-level students.

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Variables y constantes

Ecuaciones

Soluciones generales para cada ecuación

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