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Use the unit circle to find the value of each
trigonometric function at the angle indicated
cos(270°) =
sin(270°) =
tan(270°) =
COS(0°) =
sin(0°) =
tan(0°) =

Respuesta :

Answer:

cos(270)= 0

sin(270)= -1

tan(270)= undefined

cos(0)=1

sin(0)= 0

tan(0)= 0

Step-by-step explanation:

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The values of each trigonometric function are shown below:

  1. [tex]\cos 270^{\circ} = 0[/tex]
  2. [tex]\sin 270^{\circ} = -1[/tex]
  3. [tex]\tan 270^{\circ} = NaN[/tex]
  4. [tex]\cos 0^{\circ} = 1[/tex]
  5. [tex]\sin 0^{\circ} = 0[/tex]
  6. [tex]\tan 0^{\circ} = 0[/tex]

Based on definition of unit circle, definition of angle in standard position and definitions of trigonometric functions, we derive the following expressions for trigonometric functions:

[tex]\sin \theta = y[/tex] (1)

[tex]\cos \theta = x[/tex] (2)

[tex]\tan \theta = \frac{y}{x}[/tex] (3)

In addition, we have the following two facts:

  1. An angle of 0° is found when [tex]x > 0[/tex] and [tex]y = 0[/tex].
  2. An angle of 270° is found when [tex]x = 0[/tex] and [tex]y < 0[/tex].

Hence, the values of each trigonometric function are shown below:

  1. [tex]\cos 270^{\circ} = 0[/tex]
  2. [tex]\sin 270^{\circ} = -1[/tex]
  3. [tex]\tan 270^{\circ} = NaN[/tex]
  4. [tex]\cos 0^{\circ} = 1[/tex]
  5. [tex]\sin 0^{\circ} = 0[/tex]
  6. [tex]\tan 0^{\circ} = 0[/tex]

To learn more on trigonometric functions, we kindly invite to check the following verified question: https://brainly.com/question/6904750

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