given that sin(θ)=45 and θ is in quadrant ii, find sec(θ) and cot(θ).

Answers

Answer 1

finding sec(θ) and cot(θ) given that sin(θ)=45 and θ is in quadrant II. However, there might be a small confusion with the problem's statement. The sine function takes values between -1 and 1, and sin(θ)=45 is not a valid statement.

If you meant sin(θ)=1/√2 (which corresponds to an angle of 45 degrees or π/4 radians in quadrant I), we can proceed by determining the value of θ in quadrant II.
A reference angle of 45° (π/4 radians) in quadrant II corresponds to θ = 180° - 45° = 135° (θ = π - π/4 = 3π/4 radians). Now we can find sec(θ) and cot(θ) using the information provided.
Since θ is in quadrant II, the cosine function will be negative. We can use the Pythagorean identity sin²(θ) + cos²(θ) = 1 to find cos(θ):
cos²(θ) = 1 - sin²(θ) = 1 - (1/√2)² = 1 - 1/2 = 1/2
cos(θ) = -√(1/2) = -1/√2 (because cos is negative in quadrant II)
Now, we can find sec(θ) and cot(θ):
sec(θ) = 1/cos(θ) = -√2
cot(θ) = cos(θ)/sin(θ) = (-1/√2) / (1/√2) = -1
Thus, sec(θ) = -√2 and cot(θ) = -1 for the given problem with the angle θ in quadrant II.

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Related Questions

Please help me on this I need help and nobody is really helping

Answers

I believe the answer is (0,0)

Answer:

(0,0)

Step-by-step explanation:

That is the middle.

find the value of z

Answers

Answer:

[tex] z = 12 \sqrt{5} [/tex]

Step-by-step explanation:

By geometric mean property:

[tex]y = \sqrt{24 \times 6} \\ \\ y = \sqrt{144} \\ \\ y = 12 [/tex]

By Pythagoras Theorem:

[tex] z = \sqrt{ {12}^{2} + {24}^{2} } \\ \\ z = \sqrt{144 + 576} \\ \\ z = \sqrt{720} \\ \\ z = 12 \sqrt{5} [/tex]

There are 56 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital?

Answers

There are 21 men at the dance recital

Answer:

56%8=7     so then u do this  (3 is the ratio of men) 3X7=21 and thats how u do it :D

Step-by-step explanation:

uhh i don't have one lol

What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5

Answers

Answer:

[tex]\frac{3x+4}{x+5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]

Since both fractions have a common denominator then add the numerators, placed over the common denominator.

= [tex]\frac{2x+7+x-3}{x+5}[/tex]

= [tex]\frac{3x+4}{x+5}[/tex]

Answer:

The answer is

[tex] \frac{3x + 4}{x + 5} [/tex]

Step-by-step explanation:

We can do this by using the denominators.

[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]

find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104​

Answers

Answer:

find the mean median mean devialion

what this answer
954328- 864597

Answers

Answer:

Answer is 89,731

Step-by-step explanation:

I hope it's helpful!

Answer:

89731

Step-by-step explanation:

954328 - 864597

= 89731

Hope this helps :)

Let me know if there is any mistake!!

HELP WILL GIVE BRAINLY!

Answers

Answer:

The second one

Step-by-step explanation:

on the f axis you can see that f is greater than or equal to 1 and less than or equal to 5.

Perform the indicated row operation:

2 −1 −4 7
−1 2 1 −1
0 10 8 2
equation
2 −1 −4 7

0 10 8 2

Answers

Answer:

-1,2,1,-1

3,4,5,5

The other answer is for the question after this one on the edge assignment

Answer:

1ST ANSWER

0 10 8 2

2ND ANSWER

0 3 -2 5

Got it right on edg

The school production of​ 'Our Town' was a big success. For opening​ night, 391 tickets were sold. Students paid ​$4.00 ​each, while​ non-students paid ​$6.00 each. If a total of $1786 was​ collected, how many students and how many​ non-students attended?

Answers

Answer:

280 students

111 non students

Step-by-step explanation:

number of students (S)

number of non students (N)

S+N=391     S=391-N

4S+6N=1786

substitute S

4(391-N)+6N=1786

1564-4N+6N=1786

subtract 1564 from each side

2N=222

N=111

S=391-111=280

Help pls!!! Photo attached.

Answers

Answer:

i hope this helps

Step-by-step explanation:

please please help! i just answered a few questions just to post this im using all my points.

Answers

Answer:

Step-by-step explanation:

∠RST=180-44-15

         =121°

In ΔRST and ΔLMN,

∠RST=∠LMN (proven)

∠TRS=∠NLM (given)

∴ΔRST ~ ΔLMN (AA)

Answer:

Yes

Step-by-step explanation:

If all the angles in the triangles are the same, then the triangles are similar.

ΔSRT: The angles in a triangle add up to 180. 44+15+x=180, x=121

ΔLMN: The angles in a triangle add up to 180. 44+121+x=180, x=15

Both triangles share the same angles (44,15 and 121), so they are similar.

Calculate the slope of the graph

Answers

U need to calculate right and bottom squares. Like 1/2

i really need help ASAP, its due on midnight

Answers

Answer:

a. s=94 b. s=8w+54 c. w=14

Step-by-step explanation:

I posted a picture how I got this answer

Hope this helped

can some one help me please....

step by step explanation........ ​

Answers

Answer:

There are 77 members in the group.

Step-by-step explanation:

1Rs = 100 paise ( Indian Currency Conversion )

Given,

Total amount collected is = Rs 59.29

Now convert Rs 59.29 to paise that is 59.29 × 100 = 5929 paise

Condition :- Paise collection = Total number of members

Consider any of the above condition as X

So, X² = 5929

X = √5929 = 77

Thus, Total number of members in the group is 77 [ Option C ]

Hope this helps you.

The circumference of a circle is 31.4 inches. Enter the radius of the circle, in inches. Round your answer to the nearest whole number.

Answers

Answer:

Should be 5 in.

Step-by-step explanation:

C=2*Pi*R

31.4=2*3.14*R

substitute 5 for radius= 2*5=10

10*3.14=31.4

Graphf (x) = 3x + 4 and a h(x) = -f(x).

Answers

Answer:

I think the answer is 56 .

which sentence demonstrates the multiplicative identity?

1. 1/2•1=1/2
2. 1/2•2=1
3. 1/2+0=1/2•

Answers

It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Answer:

It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Step-by-step explanation:

If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP

Answers

Answer:

365.76

Step-by-step explanation:

If 2 feet is 60.96, then 1 foot is 30.48.

30.48 times 12 = 365.76

365.76 centimeters is the answer.

Hope this helps!

Plz, mark brainliest!

Answer:

365.76 cm in 12 feet

Step-by-step explanation:

Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)

Now we can cross multiply, which gives us 12*60.96=2*x

Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.

Help plssssssssssssss?

Answers

Answer:

2

Step-by-step explanation:

because when x, the input, is -3, the y, the output, is 3

PLEASE HELP ASAP!!!
(Question in picture! Please include steps :))

Answers

Answer:

90 degree - 60 degree = 30 degree always remember yn will be 90 degree

Answer:

MN = π

Step-by-step explanation:

The arc MN is calculated as

MN = circumference of circle × fraction of circle

      = 2πr × [tex]\frac{60}{360}[/tex] ( r is the radius )

      = 2π × 3 × [tex]\frac{1}{6}[/tex]

     = 6π × [tex]\frac{1}{6}[/tex]

     = π

John has $80. Every week, he spends $7.
Create an equation that represents how much money, m, he has after t weeks.
How much money, in dollars, will he have after the fourth week?
Enter the equation and the answer on separate lines.

Answers

John would have 52 dollars left by the fourth week.
7(dollars spent each week) x 4 ( number of weeks)=28 (spent in 4 weeks)

80 - 28 =52

How do i identify the minimum

Answers

Answer:

to identify the minimum of the table try looking at the negative numbers first and then look at the positive numbers

The simple interest earned for certain amount for 3 years at 5% is AED. 450. The amount invested is ________.

I need the steps also

Answers

Answer:

AED 3000

Step-by-step explanation:

Let the invested amount is x

Interest rate is r = 5% simple = 0.05 timesTime is t =  3 yearsInterest amount I = AED. 450

Using the interest formula and solving for x:

P*r*t = Ix*0.05*3 = 4500.15x = 450x = 450/0.15x = 3000

The amount invested is AED 3000

What is the justification for step 2? 4(x-5)= -12 Justification Step 1: 4x-20=-12 Distributive Property Step 2 4x= 8 ? Step 3 x=2 Division Property of Equality

Answers

Answer:

addition property of equality

Step-by-step explanation:

Given the equation 4(x-5) = -12

Expand

4x - 20 = -12

Add 20 to both sides (addition property of equality)

4x-20+20 = -12+20

4x = 8

x = 8/4

x = 2

Hence the value of x is 2

The justification for step 2 is addition property of equality

The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?

Answers

Answer:

16p^2 - 24p - 9

Step-by-step explanation:

I literally just took the test lol

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Answers

Answer:

8 by 6986 = quotient  873 remainder 2

M= 800x8 =6400

N= 560/8=70

P= 26/8 =3

Q=3x8=24

R=26-24=2

I need brainliest so I can rank up

Step-by-step explanation:

yes good haware you good

Graph the following features:
• Slope = 2
Y-intercept = -5

Answers

y = mx + b

y = 2x - 5

you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.

it should look like this:

hope this helps !!

The equation is y=2x-5

HELP! THIS IS DUE IN LESS THAN 20 MINUTES! PLEASE!!! I'M ALREADY BEHIND AND THIS WILL SET ME BACK EVEN MORE!!!

Answers

Answer: For 7 this is how to graph it

Stu is buying a &35 tool. The store reduces the price by 5%. How much will Stu pay for the tool?

Answers

Correct question is:

stu is buying a $35 tool. The store reduces the price by 5% and then applies an $8 off coupon. How much will Stu pay for the tool

Answer:

$25.25

Step-by-step explanation:

The cost of the tool has been given as $35.

The price of this tool is then reduced by 5%.

When we apply this reduction to initial price

= 35 * 5%

= 35x0.05

= $33.25

If a coupon of 8 dollars is applied

The price to be paid for the tool will be

$33.25 - $8.00

= $25.25

Stu is going to pay $25.25 for the tool

What is the product of these two binomials?
(x^2 - 5)(2x - 1)

Answers

Step-by-step explanation:

Please refer to the attachment

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