Question

El valor de las funciones trigonometricas para el angulo teta cuyo lado final contiene P(3,4)

Answer 1

Respuesta:

senA = y/r = 4/5

cosA = x/r = -3/5

tgA = y/x = 4/-3 = -4/3

ctgA = x/y = -3/4

secA = r/x = 5/-3 = -5/3

cscA = r/y = 5/4

Explicación paso a paso:

Sea "A" el ángulo.

P(-3; 3)

x = -3

y = 4

r = ?

r = \sqrt{ {x}^{2} + {y}^{2} }r=x2+y2

r = \sqrt{ {( - 3)}^{2} + {(4)}^{2} }r=(−3)2+(4)2

r = \sqrt{9 + 16}r=9+16

r = \sqrt{25}r=25

r = 5r=5

Finalmente:

senA = y/r = 4/5

cosA = x/r = -3/5

tgA = y/x = 4/-3 = -4/3

ctgA = x/y = -3/4

secA = r/x = 5/-3 = -5/3

cscA = r/y = 5/4