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NeTakaya
3 years ago
14

Use the unit circle to find the value of cot (–270°). Question 3 options: cot (–270°) = 1 cot (–270°) = –1 cot (–270°) = 0 undef

ined
Question 3 options:

cot (–270°) = 1

cot (–270°) = –1

cot (–270°) = 0

undefined
Mathematics
1 answer:
aivan3 [116]3 years ago
7 0

Answer:

cot(-270) = 0

Step-by-step explanation:

given cot ( -270)

In trigonometry function we will use cot ( -x) = -cotx

so cot (-270) = - cot270

<u>trigonometry table</u>

          II quadrant                                I quadrant ( All positive)                                                                              

 sin θ            90+θ                                                    90 -θ

<u>  cosec</u> θ <u>     180-θ                                                   360+θ</u>

            third quadrant                                fourth quadrant

 tan θ            180+θ                                       cos θ          270+θ

 cot θ       270 - θ                                          sec θ       360-θ                                    

Given

cot (-270) = -cot ( 270)

                = - cot ( 180 + 90) (third quadrant above table)

                = -cot 90 =0 ( cot θ positive in third quadrant

<u>Final answer</u>:-

cot(-270) =0

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