Identidades Trigonométricas
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Medium
JHONNY GONZALO MAMANI QUISPE
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10 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 10 pts
¿Cuál es la identidad fundamental de la trigonometría?
tan²(θ) + cot²(θ) = 1
sec²(θ) - cos²(θ) = 1
sen²(θ) + cos²(θ) = 1
sin(θ) + cos(θ) = 0
2.
MULTIPLE CHOICE QUESTION
3 mins • 10 pts
Simplifica la expresión: sin²(x) + cos²(x).
sin²(x) * cos²(x)
sin²(x) - cos²(x)
1
sin²(x) + 2cos²(x)
3.
MULTIPLE CHOICE QUESTION
3 mins • 10 pts
¿Qué identidad se utiliza para transformar tan(x) en sen(x) y cos(x)?
tan(x) = sen(x) / cos(x)
tan(x) = cos(x) / sen(x)
tan(x) = sen(x) + cos(x)
tan(x) = sen(x) - cos(x)
4.
MULTIPLE CHOICE QUESTION
3 mins • 10 pts
Simplifica la expresión: 1 + tan²(x).
sec²(x)
1 - tan²(x)
cos²(x)
sin²(x)
5.
MULTIPLE CHOICE QUESTION
3 mins • 10 pts
¿Cuál es la relación entre las funciones trigonométricas y el círculo unitario?
El círculo unitario se utiliza solo para calcular áreas, no para funciones trigonométricas.
Las funciones trigonométricas son independientes del círculo unitario.
Las funciones trigonométricas solo se aplican a triángulos, no a círculos.
Las funciones trigonométricas se relacionan con el círculo unitario a través de las coordenadas de los puntos en el círculo que corresponden a los ángulos.
6.
MULTIPLE CHOICE QUESTION
3 mins • 10 pts
Aplica la identidad de ángulo doble: sin(2x) = ?
2 * sin^2(x)
sin(x) + cos(x)
sin(x) / cos(x)
2 * sin(x) * cos(x)
7.
MULTIPLE CHOICE QUESTION
3 mins • 10 pts
¿Cómo se expresa cos(2x) en términos de cos(x)?
cos(2x) = 1 - 2sin²(x)
cos(2x) = cos²(x) + sin²(x)
cos(2x) = 2cos²(x) - 1
cos(2x) = cos(x) - sin(x)
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