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Trigonometría.
Expresa cos(30°+x) en términos de sen x y cos x.
Expresa tg (45°+x) en términos de tg (x).
Utiliza la fórmula cos(x+y) para hallar el valor exacto de 105°.
Demuestra las siguientes identidades:
sen(a+b) · sen(a-b) = sen2a - sen2b
sen(a+b) · sen(a-b) = cos2a - cos2b
Expresar cos 3a en función de sen a y cos a.
Obtener una fórmula para cos 4a en términos de cos a.
Si tg a= 1.6 . Calcular tg 2a y tg 3a.
Calcular sen (a+b+c) en función de las razones trigonométricas de a, b y c.
En el ejercicio se proponen datos de diferentes triángulos. Calculan los datos que faltan.
a
b
c
A
B
C
1
37
24
61
2
57
100
57
3
57
100
57°
4
57
100
57°
5
57
57°
62°
6
57
57°
62°
7
4.7
41°
59°
8
321
470
123°
En un triángulo ABC, b=42 cm., c=25 cm. y B+C=94°. Calcula los ángulos B y C. El lado a y el área del triángulo.
En un triángulo ABC conocemos A=94° y B=36°, además a+b=30. Calcular los lados a, b, c y el ángulo C.
Del triángulo ABC sabemos: b=52 cm. c=49 cm. y B-C=12°. Calcular A, B, C, a, área y perímetro. (Indicación : aplicar el teorema del seno y desarrollar sen(C+12).)
Resuelve el triángulo de lados a=36m. b=26m. y c=24m. Calcula su área.
En un triángulo ABC se conoce A=94°, B=36° y a+b=30. Calcular C, a, b, c y el área del triángulo.
En un triángulo ABC se conoce a=37, b=42 y c=68. Calcular A, B, C y el área del triángulo.
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Enviado por: Lucía Rueda Idioma: castellanoPaís: España