MATHEMATICS HIGH SCHOOL

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

cot (–270°) = 1

cot (–270°) = –1

cot (–270°) = 0

undefined

Answers

Answer 1

Answer:

Answer:

cot(-270) = 0

Step-by-step explanation:

given cot ( -270)

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

so cot (-270) = - cot270

trigonometry table

II quadrant I quadrant ( All positive)

sin θ 90+θ 90 -θ

cosec θ 180-θ 360+θ

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

Final answer:-

cot(-270) =0

Answer 2

Answer:

Final answer:

The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are 0 and 1, respectively.

Explanation:

To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.

At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is undefined.

Learn more about Cotangent Function here:

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Pls explain me how to solve this

Answers

|f(x)| is equivalent to 2 equations
f(x) when f(x) >= 0 OR -f(x) when f(x)< 0

so |x-11| > 4 is equivalent to
x-11 > 4 when x-11 >= 0 OR
-(x-11) > 4 when x-11 < 0

rearrange
x-11 > 4 when x-11 >= 0 we get
x > 15 when x >= 11 ... means x > 11

-(x-11) > 4 when x-11 < 0 we get
x < 7 when x < 11 ...means x < 7

so we have. x < 7 OR x > 11 for this inequality which is not the correct answer

... now... what is solution for |x-11| < 4
you can try to work as above and should come up with the solution just 'the opposite' which is x > 7 OR x < 11 [ 7 < x < 11 ]

then you work for c) and could work or guess for d)

-(-2)with an exsponet of 6 help plz

Answers

-(-2) is the same thing as saying 2 and 2^6 is 64 Enjoy!=)

-(-2) is the same thing as 2, and 2 raised to the sixth power is the same thing as 2 x 2 x 2 x 2 x 2 x 2. this equals 64

Multiply out the brackets and simplify where possible: 3(2x+5)-2(x-1)

Answers

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Answers

Answer:

Step-by-step explanation:

hope this helps.....

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Answers

Answer:

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Step-by-step explanation:

Answer:

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