All categories

3 years ago

Which of the functions have period pi?

Mathematics

1 answer:

Stels [109]3 years ago

8 0

ANSWER

A.) y = tan x

C.) y = cot x

EXPLANATION

The period refers to the interval over which the graph completes one cycle

The trigonometric functions

$y = \tan(x)$

and

$y = \cot(x)$

are reciprocals of each other.

They have the same period, which is π

Also y=cscx and y=secx are reciprocals of the sine and the cosine functions respectively.

They have periods of 2π

You might be interested in

Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and

Natali [406]

Answers:

Total equation: x+y = 80
Legs equation: 2x+4y = 248
How many ducks? 36
How many cows? 44

====================================================

Further explanation:

x = number of ducks
y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

2x = number of legs from all the ducks only
4y = number of legs from all the cows only
2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

5 0

2 years ago

Uma is paid $12.25 for each chair she decorates. Last week she

Luda [366]

Answer:

$514.50

Step-by-step explanation:

7+4+2+8=21

$12.25x21=$514.50

6 0

3 years ago

What’s the equation for a line passing through points (-1, 4.5) and (6, 8)?

san4es73 [151]

Answer:

Given points ( -1 , 4.5 ) and ( 6 , 8 )

Step-by-step explanation:

first we should calculate slope 

Slope ( m) 

= ( y2 - y1) / ( x2 - x1) 

= ( 8 - 4.5 ) / ( 6 + 1 )

= 3.5/7

= 0.5

Now the equation of line is given by 

y - y1 = m ( x - x1 )

y - 4.5 = 0.5 ( x + 1 )

( y - 4.5 ) = 0.5 ( x + 1)

y - 4.5 = 0.5x + 0.5

y = 0.5x + 0.5 + 4.5

y = 0.5x + 5

3 0

3 years ago

A number is rolled what is the probability of 2, then 2

ra1l [238]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷There is a dice and you have 6 numbers

The probability is 1/36, since it is 1/6 to get a 2 the first time, and 1/6 the next time.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

8 0

3 years ago

Read 2 more answers

What is the area of this composite figure? 5 cm 12 cm 3 cm 3 cm 2 cm 2 cm

omeli [17]

Answer:

quit school its trash

Step-by-step explanation:

3 0

3 years ago