contestada

Consider an angle in standard position with r = 12 centimeters, as shown in the figure. Write a short paragraph describing the changes in the magnitudes of x, y, sin Θ, cos Θ, and tan Θ as Θ increases continually from 0° to 90°.

Consider an angle in standard position with r 12 centimeters as shown in the figure Write a short paragraph describing the changes in the magnitudes of x y sin class=

Respuesta :

wolffiegirl
 x decreases from 12 to 0 
y increases from 0 to 12 
sine increases from 0 to 1 
cosine decreases from 1 to 0 
tangent increases from 0 to infinity

Following are the solution on the given graph:

[tex]\sin \theta = \frac{y}{12}\\\\\to y= 12 \ \sin \theta \\\\\cos \theta=\frac{x}{12}\\\\\to x= 12 \ \cos \theta \\\\\tan \theta= \frac{y}{x}[/tex]

  • As [tex]\theta[/tex] increases steadily from [tex]0^{\circ} \ to \ 90^{\circ},[/tex] while [tex]\sin \theta[/tex] increases continuously from 0 to 1.
  • As a result, y increases continuously between [tex]0 (12 \sin (0^{\circ}) \ to\ 12 (12 \sin (90^{\circ}).[/tex]
  • When [tex]\cos \theta[/tex] declines form 1 to 0, x drops from [tex]12(12 \cos(0^{\circ})) \ to \ 0 (12 \cos (90^{\circ}).[/tex]
  • [tex]\tan \theta[/tex], but at the other hand, increases indefinitely beyond 0 and is not defined when [tex]\theta = 90^{\circ}[/tex].

Learn more:

brainly.com/question/10538256

Ver imagen codiepienagoya

Otras preguntas