Determine whether the equation is an identity or not an identity. Sin theta/cos theta + cos theta/sin theta = cos theta sin theta

Answers

Answer 1

Answer:

The equation is not an identity.

Step-by-step explanation:

Since we have Sin theta/cos theta + cos theta/sin theta = cos theta sin theta, we re-write as Sinθ/cosθ + cosθ/sinθ = cosθsinθ where theta = θ.

For the equation to be an identity, we need to show that L.H.S(left-hand-side)= R.H.S (right-hand-side)

So,

Sinθ/cosθ + cosθ/sinθ = (Sin²θ + cos²θ)/cosθsinθ (taking L.C.M = cosθsinθ)    

                                     = 1/cosθsinθ                         (Sin²θ + cos²θ = 1)

                                     ≠ cosθsinθ      

Since L.H.S = Sinθ/cosθ + cosθ/sinθ = 1/cosθsinθ ≠ R.H.S = cosθsinθ, the equation is not an identity.


Related Questions

1/5 + (-4/5) please help me

Answers

Answer:

when added we get -0.6

Step-by-step explanation:

so -0.6 is your answer!

Answer:

-3/5

Step-by-step explanation:

I could really use some help. I am trying to solve this for a friend, and I am completely stuck.

Answers

Answer:

-x2 + -x3 =x

there ya go

If one inch represents 3 units, what dimensions would you use to draw a rectangular field that is 20 units by 14 units?​

Answers

Answer:

Step-by-step explanation:

If 1 inch = 3 units,

Therefore 1 unit = ⅓ inches, so to answer your question we have to

Multiply it by 20, to have :

20 units = 20× ⅓ = 20÷3

20 units = 6.66

Therefore we can use the same principle in that of 14 units.

14 units = (14 × ⅓) inches

14 units = 4.66 inches

PLEASE GIVE BRAINLIEST.

Please guys help me with this question. I will give you the brainliest if you give me the correct answers. ​
Please show the working

Answers

Answer:

(a) She is 280m from her starting position

(b) 200m west then 80m south

Step-by-step explanation:

(a) 80m + 200m

= 280m

(b) First she walked 80m north n 200 east

If she want to get back to her starting position she will have to travel the same distance in the opposite direction

Opposite of East is West n opposite north is south

so she will have to go 200m west n then 80m south

Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units. What would be the perimeters of the other rectangles Corbet could make using only these 24 tiles? How do the areas of the rectangles compare? Explain.

Answers

Answer:

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Step-by-step explanation:

Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.

To find -  What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?

Proof -

We know that

Are of Rectangle = Length × Breadth

And Perimeter of Rectangle = 2 (Length + Breadth )

Now,

Given that,

Orbet used 24 square tiles

And perimeter of the rectangle made = 20

So,

Possible Length of rectangle = 6

Possible breadth of Rectangle = 4

Or Vice-versa.

Total number of Rectangles possible = 4

Possibilities are -  1 × 24, 2 × 12, 3 × 8, 4 × 6

Case I :

Length of rectangle = 1

Breadth of rectangle = 24

∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units

Area of rectangle = 1 × 24 = 24 unit²

Case II :

Length of rectangle = 2

Breadth of rectangle = 12

∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units

Area of rectangle = 2 × 12 = 24 unit²

Case III :

Length of rectangle = 3

Breadth of rectangle = 8

∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units

Area of rectangle = 3 × 8 = 24 unit²

Case IV :

Length of rectangle = 4

Breadth of rectangle = 6

∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units

Area of rectangle = 4 × 6 = 24 unit²

∴ we get

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

A store is having a sale on trail mix and jellybeans for 3 pounds of trail mix and 5 pounds of jellybeans the total cost is $23 for 6 pounds of trail mix and 2 pounds of jellybeans the cost is $20 find the cost for each pound of trail mix in each pan of jellybeans

Answers

Answer:

The jelly beans cost $2.25 / pound

The trail mix costs $1.25 / pound

Step-by-step explanation:

I just took the test.

What is the range of (-1, 75), (0, 15) and (1, 3)?

Answers

the answer is below in the picture

Find measure of angle 2 - can someone help???

Answers

Answer:

44

Step-by-step explanation:

Answer:

[tex] m\angle 2 = 88\degree - m\angle 1 [/tex]

Step-by-step explanation:

[tex] m\angle 1 + m\angle 2 = m\angle WUV[/tex]

[tex] m\angle 2 = m\angle WUV- m\angle 1 [/tex]

[tex] m\angle 2 = 88\degree - m\angle 1 [/tex]

Ella S, Lily, Aziza, and Kevin earned a total of $100 shoveling snow. Each of them earned the same amount. How much did each of them earn? I will give 13 points

Answers

Answer:

$50 :)

Step-by-step explanation:

Please answer this quickly it’s for a test!

Answers

The answer to your question is C

Answer: I think its D, not positive though.

Step-by-step explanation:


B. Paula's Flower Shop has 246 tulips. The tulips need to be arranged in large vases that hold
exactly 8 flowers
.
How many large vases can be filled with 8 flowers each?
Will there be any leftover tulips?
• If so, how many?

Answers

30 full vases and 6 remaining

y= 1/6x find y when x= -60

Answers

Answer:

-10

Step-by-step explanation:

Plugin the value of x.

y=1/6(-60)

y=-60/6

y=-10

If this helped please consider giving brainliest.

Please help me, thank you so much!! It’s just the words, no photo just so you know.

Answers

Answer:

Step-by-step explanation:

formula: a^2 + b^2 = c^2

a^2 + 15^2 = 17^2

a^2 + 30 = 289

       -30    -30

a^2 = 259

(square root)

a = approximately 16

someone please help me solve this: - 2x + 10 + 5x = 40​

Answers

Answer:

X=10

Step-by-step explanation:

So, -2x+10+5x=40. first we subtract ten from both sides, getting us to -2x+5x=30, then we subtract 2x from 5x, because its negative, getting us to 3x=30, basically x=10.

ANSWER:
x=10

STEP BY STEP:
look at image for step by step

I really need help with this!! If you know how to solve please help!

Find the sum of sides of a convex polygon if the sum of the measures of its interior angles is: 540 degrees, 1080 degrees, 1800 degrees, 1620 degrees, 2340 degrees, 3600 degrees, 2880 degrees, and 7560 degrees.

Answers

Answer:

18,540

what i know is 18,540

A new high definition TV is on sale for $240, reduced 25% from its original price. What was the
original price?
Help pleaseee

Answers

Answer:

$320

Step-by-step explanation:

To find the original price, divide 240 by 0.75

240/0.75

= 320

So, the original price is $320

Answer:

The original price was $320 dollars

Step-by-step explanation:

25% of 320 is 80.

320 - 80 = 240.

So, the answer is 320.

Hope this helps! :)

A local pizza shop has a membership program for frequent buyers. The
costs $25 per month and members get a discounted price of $1 per slice of pizza.
Montraie purchased a membership to this pizza shop. How much would Montraie
have to pay the pizza shop if he bought 13 slices of pizza this month? What would be
the monthly cost for slices of pizza?

Answers

Answer:

13 bucks would be the answer hope this helped

If f(x) = , g(x) = 5x, and h(x) = x + 4, find each value. h[f(4)], g[h(–2)], f[g(1)]. pls write the steps. DON'T SEND A LINK OR FILE!

Answers

Answer:

Step-by-step explanation:

A new gaming system costs $350. A store offers a 20% discount on the new gaming system. What is the amount of the discount?

Answers

Answer:

70

Step-by-step explanation:

Answer: $70

Step-by-step explanation:

1. Make an equation: since 100% price is equal to $350, you can make this ratio => 100:$350=80:$x

x stands for the cost after 20% discount.

2. Solve by cross multiply: 350*80=100x => 28000=100x => x=280

3. Subtract : to find the amount of discount, subtract the discounted price from the original price => 350-280=70

Have a nice day! :D

Enter non-integer answer as a decimal.

**Notice, it is going to hit right at the point (8,175) where the arrow touches**

Answers

Answer:

Step-by-step explanation:

mi/gal=175/8, as a decimal

21.875 mi/gal

11. < ABE and < DBE are supplementary
angles. If the measure of < ABE is 61, what
is the measure of < DBE?

Answers

Answer:

119°

Step-by-step explanation:

< DBE = 180° - < ABE

or, < DBE = 180° - 61°

or, < DBE = 119°

hope it works, fanks !!

please help times running out

Answers

Answer: c

Step-by-step explanation:

x/2+ 1 = 9
options:

x = 16

x = 20

x = 4

x = 5

Answers

X=16


16 divided by 2=8+1=9

Hope this helps!:)

anyone have the answer ??

Answers

Answer: D- -4 degrees

Step-by-step explanation:

2-3= -1 -1 - 3 = -4

Answer:

D. -4°C

Step-by-step explanation:



When finding the probability of getting a heads when flipping a coin. Which of the following should produce an experimental probability closest to the theoretical
probability?

Answers

Answer:

ADD EVERTHING UP

Step-by-step explanation:

The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which
equation models this situation?
A. 5x^2-2x-24=0
B. 5x^2-2x-12=0
C. 5x^2-2x-6=0
D. 25x^2-10x-24 = 0

Answers

The answer would be c I just took the quiz

need the answers to this with the work show and done before 11:30!!!! pls answer fast

Answers

what’s the question

What is the slope of the line?

Answers

Answer:

8

Step-by-step explanation:

exponential growth

Is income salary? or is it the *take home pay* after tax deductions are made? and if it is the second one, then is income the same as *net monthly salary?*​

Answers

Yea salary typically makes up a persons income
Yes take home pay is after deductions. Usually differentiate by gross income and net income.

Net income would be the same as net monthly salary and take home pay.


Basically you get paid a salary and that that is gross income before deductions. Then money is taken out for taxes insurance retirement etc, and whatever is leftover is your take home pay or net income or net monthly salary whatever you wanna call it. Neto take home means after deductions

Deondra surveyed 240 of the students in her school about their favorite color.
Students could choose between purple and blue. 15% said their favorite color was
blue. How many students' favorite color was purple?

Answers

Answer:

the answer is 180 students.

Step-by-step explanation:

I got this by subtracting 15 by 100 and got 75. This means 75% chose purple. Then you take 75% of 240 and that's your answer

Answer:

204

Step-by-step explanation:

ok

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