rosetoheart2
contestada

11-16


State if the given angles are coterminal.
11) 185°, -545°
12)17(pi)/36 , 161(pi)/36

Find a coterminal angle between 0° and 360°.
13) -330°
14) -435°
15) 640°
16) -442°

1116 State if the given angles are coterminal 11 185 545 1217pi36 161pi36 Find a coterminal angle between 0 and 360 13 330 14 435 15 640 16 442 class=

Respuesta :

Answer:

See below in bold.

Step-by-step explanation:

To do these we add or subtract 360 degrees or 2 pi radians. Sometimes multiple actions are required.

11.  Adding  360 to -545:

= -185

185 + 360 = 175

The other angle is 185 degrees so they are not coterminal.

12.  161pi/36 - 2pi

= 161pi /36 - 72pi/36

= 89pi/36

89pi/36 - 72pi/36

= 17pi/36.

So these are coterminal.

13. -330 + 360 = 30 degrees.

14. -435 + 360

= -75

-75 + 360

= 285 degrees

15.  640 - 360 = 280 degrees.

16. -442 + 360 = -82

-82 + 360 = 278 degrees.

The required angles are 185, [tex]\dfrac{17\pi }{36}[/tex], 30, 285, 280, and 278.

Angle

It is used in trigonometry

How to calculate angles?

11)  185, -545

[tex]-545 + 360 = -175\\ -175 + 360 = 185[/tex]

12)  [tex]\dfrac{17\pi }{36} ,\ \dfrac{161\pi }{36}[/tex]

[tex]\dfrac{161\pi }{36} -\ \dfrac{72\pi }{36} = \dfrac{89\pi }{36} \\\\\dfrac{89\pi }{36} -\ \dfrac{72\pi }{36} = \dfrac{17\pi }{36}[/tex]

13)  -330 + 360 = 30

14)  -435 + 2x360 = 285

15)  640 - 360 = 280

16)  -442 + 2x360 = 278

Thus, the required angles are 185, [tex]\dfrac{17\pi }{36}[/tex], 30, 285, 280, and 278.

More about the angled link is given below.

https://brainly.com/question/15767203

Otras preguntas