(2sinx+3cosx)²+(3sinx-2cosx)²=13 prove plz

Answers

Answer 1

Answer:

LHS:-

(4sin²x +9cos²x + 12sinxcosx) +(9sin²x+ 4 cos²x -12sinxcosx)

13 (sin²x + cos²x)

13*1 =

13RHS

HP

Answer 2

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1

Consider left side

(2sinx + 3cosx)² + (3sinx - 2cosx)² ← expand parenthesis using FOIL

= 4sin²x + 12sinxcosx + 9cos²x + 9sin²x - 12sinxcosx + 4cos²x

Collect like terms

= 13sin²x + 13cos²x ← factor out 13 from each term

= 13(sin²x + cos²x)

= 13 × 1

= 13

= right side , thus proven


Related Questions

zee fashion is offering 15% off on its entire stock of clothing ​

Answers

Answer:

sound great so whats your question

Step-by-step explanation:

which of the graphs shown below represents the base function f(x)=x^2 and the stretched function g(x)=-7/2x^2

Answers

f(x) = x^2 is the black parabola in both graphs.
g(x) = - 7/2 x^2 tells you the parabola will be:
  - flipped upside down because the negative on the 7/2
  - skinnier, because of the 7/2.

This will be the second graph.

Nevaeh rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase
describes the probability that she will roll a 7?
certain
unlikely
Submit Answer
impossible
likely
DOLL

Answers

Answer:

Step-by-step explanation:

If she had two dice, a seven is the most common roll you can get, although the odds are still against you.

To get a seven with just 1 die is impossible.

-6+7s-4r-2 use s=7 and r=-7

Simplified

Answers

Answer:

[tex] - 6 + 7s - 4r - 2 \\ \\ - 6 + 7(7) - 4( - 7) - 2 \\ \\ - 6 + 49 + 28 - 2 \\ \\ = 6 9[/tex]

I hope I helped you^_^

Diyoshana, Hemant and Rupesh got different answers for this problem: {-10-3(10÷2)}-4.

Diyoshana's answer was 1, Hemant's answer was -29, and Rupesh's answer was 21

a). Which student had the correct answer?
b). Show and explain how other two students got their answers. What errors did they make?

My opinion on this:
this is a way to long question

I'm giving 20 points for this​

Answers

Answer:

a)hemant is correct

b) they didn't solve this according to BoDMAS so they got wrong answer

a) The student Hemant's answer -29 is the correct answer, b) The errors they make is the change of sign in the first step.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is {-10-3(10÷2)}-4

⇒ [tex][-10-3(\frac{10}{2} )]-4[/tex]

⇒ [tex][-10-3(5)]-4[/tex]

⇒ [tex][-10-15]-4[/tex]

⇒ [tex][-25]-4[/tex]

⇒ [tex]-29[/tex]

a) The student Hemant's answer -29 is the correct answer.

b) The student Diyoshana did mistake in sign in step 1 as

⇒ [tex][-10+3(\frac{10}{2} )]-4[/tex]

⇒ [tex][-10+15]-4[/tex]

⇒ [tex]5-4[/tex]

⇒ [tex]1[/tex]

The student Rupesh did mistake in sign in step 1 as

⇒ [tex][10+3(\frac{10}{2} )]-4[/tex]

⇒ [tex]25-4[/tex]

⇒ [tex]21[/tex]

Hence we can conclude that a) The student Hemant's answer -29 is the correct answer, b) The errors they make is the change of sign in the first step.

Learn more about simplification of an expression here

https://brainly.com/question/11444405

#SPJ2

420 hg = _____ cg
please help me

Answers

Answer:

420 hg = __4200000___ cg

Step-by-step explanation:

please mark me brainliest

Find the inverse of each function. Then graph the function and it’s inverse.

Answers

The answer to ur question is 5/5

Find m<1 if <1 is complementary to <2, <2 is supplementary to <3, and
m<3 = 126

Answers

Answer:

∠ 1 = 36°

Step-by-step explanation:

Supplementary angles sum to 180° then

∠ 2 + ∠ 3 = 180° , that is

∠ 2 + 126° = 180° ( subtract 126° from both sides )

∠ 2 = 54°

Complementary angles sum to 90° , then

∠ 1 + ∠ 2 = 90° , that is

∠ 1 + 54° = 90° ( subtract 54° from both sides )

∠ 1 = 36°

I really need help on this!!!!!
Why is the sum of the interior angles in a triangle different in Euclidean geometry vs Riemannian geometry?

Answers

Answer:

n spherical geometry angles are defined between great circles. ... The sum of the interior angles of a triangle ALWAYS exceeds 180 degrees. In Euclidean Geometry, two lines that intersect form exactly one point. However, in Spherical Geometry, when there are two great circles, they form exactly two intersecting points.

Step-by-step explanation:

Answer:

in riemannian geometry there is only one parallel to the given line.euclud second postulate is a straight line of fininit length that can be continued continuously without bounds


The optimal operating temperature of a given car engine is within 10°F of 190°F. Write an absolute value
inequality for the range of acceptable temperatures and solve the inequality.

Answers

|x - 190|≤10

Solved: 180≤x≤200

The absolute value of inequality is 180 ≤  x ≤  200 and its solution lies in [180, 200].

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

Suppose the operating temperature be x.

Then, as per the question the absolute difference of the temperature and 190°F is within 10°F.

It can be written in the form of inequality as follows,

|x - 190| ≤ 10

⇒ x - 190 ≤ 10 and  x - 190 ≥ -10

⇒ -10 ≤ x - 190 ≤ 10

⇒ -10 + 190 ≤ x ≤ 10 + 190

⇒ 180 ≤  x ≤  200

Thus, the range of acceptable temperatures lie in [180, 200].

Hence, the absolute value of inequality and its solution are given by  180 ≤  x ≤  200 and [180, 200] respectively.

To know more about linear inequality click on,

https://brainly.com/question/11897796

#SPJ2

work out the following product,giving your answer as product of prime factor in power a) of the following product is in your answer as a product of prime factor in power 480 x 175 ​

Answers

85.3ft (26m) x 45.93ft (14m).

Determine if the two triangles shown are similar. If so, write the similarity statement.

Options:
A) The triangles are not similar.
B) ΔVML ∼ ΔUTM
C) ΔVML ∼ ΔUMT
D) Impossible to determine.

Answers

Based on the SAS similarity theorem, the right option is: C) ΔVML ∼ ΔUMT.

How to Determine if Two Triangles are Similar?

In order to determine if two triangles are similar, find out if the ratio fo their corresponding side lengths are equal, that is, their lengths must be proportional to each other if they are similar triangles.

What is the SAS Similarity Theorem?

The SAS states that if two pairs of sides of two triangles are proportional to each other, and they have a pair of corresponding congruent included angles, then they are similar triangles.

Given the image showing the two triangles, we have the following measures:

VM = 14, which is corresponding to UM = 49

LM = 8, which is corresponding to TM = 28

VM/UM = 14/49 = 2/7

LM/TM = 8/28 = 2/7

This means the two sides are proportional.

Also, angles VML and UMT are congruent to each other based on the vertical angles theorem.

Therefore, we can state that the ΔVML ∼ ΔUMT by SAS. The right option is C.

Learn more about similar triangles on:

https://brainly.com/question/14285697

#SPJ1

hi can you help me? Tia went home and said to her mom, I learned that 10⁴ is the same as 40,000. She has made a mistake in her thinking. Use words, numbers, or a place value chart Tia correct her mistake.​

Answers

Answer:

She was thinking of it as normal multiplication like 10 x 4 = 40. but the real answer is 10,000

Step-by-step explanation:

The pretzel shop usually sell an average of 11 original pretzels and 7 cinnamon pretzels each hour. If they sold 132 original pretzels today about how many cinnamon pretzels did they probably sell?

Answers

132/11 is 12
So 7*12 is 84
They shouldve sold around 84 cinnamon pretzels

8b-4x+5 use b=-2 and x=-9

Simplified is?

Answers

Answer:

[tex]8b - 4x + 5 \\ \\ 8( - 2) - 4( - 9) + 5 \\ \\ - 16 + 36 + 5 \\ \\ = 25[/tex]

I hope I helped you^_^

Answer:

25

Explanation:

Evaluate  [tex]8(-2)-4(-9)+5[/tex]

give 2/2 examples of finite,infiniteand empty sets​

Answers

Answer:

[tex]finite \: set \: \\ 1) set \: of \: one \: digit \: whole \: number \\2) set \: of \: number \: of \: players \: in \: a \: cricket \: team \\ infinite \: set \\ 1)set \: of \: all \: whole \: numbers \\ 2) \: set \: o f \: all \: ponts \: in \: a \: line \\ empty \: set \\ 1)set \: of \: whole \: numbers \: between \: 1 \: and \: 2 \\ 2)set \: of \: prime \: numbers \: between \: 3\: and \: 5 \\ thank \: you[/tex]

What is 7 divided by -84

Answers

Answer:

7÷(-84)=(-12).........

7 ÷ -84 = -7/84 = -1/12

The distance between Rose-Belle and Belle-Rose is 30 km.
A cyclist left Rose-Belle at 06 30 and reached Belle-Rose at 08 00 the same day. Calculate the average speed of the cyclist.!

Answers

[tex] \large \mathfrak{Solution : }[/tex]

Distance between the places is :

30 km

Time taken to cover that distance is :

1.5 hour

Average speed of the cyclist will be :

[tex] \dfrac{30}{1.5} [/tex]

[tex]20 \: \: kmph[/tex]

Avg speed = 20 km / h

IF x=1, y= -3 ,find the value of 5x 2square + 3xy -y 2square ​.
Please help me in full details

Answers

Step-by-step explanation:

sorry man i wish i could help

Simplify the expression: 63(13−18)+24÷6

Answers

Answer:

-311

Step-by-step explanation:

If (x + 4)^2 = 49 and x <0, what is the value of x?

Answers

Answer:

x = - 11

Step-by-step explanation:

Take the square root of both sides.

sqrt(x+4)^2 = sqrt(49)

x + 4 = +/- 7

x + 4 = + 7

x = 3                 Not what you want.

x + 4 = - 7

x = - 11

If u had powers what power would u have

Answers

Answer:

I would have psychic powers so I could have multiple powers.

Fraction: 1/11, Numerator: 1

Step-by-step explanation:

What least number should be subtracted from 45,632 so that the number is divisible by 100 (plzz answer)

Answers

Answer:

32

Step-by-step explanation:

I don't know if I am correct but if you subtract 32 from 45632 then you will get 45600 which is easily divisible by 100, so your answer is 32

(Geometry) help is appreciated

Answers

ABC is the right angle which is the side you have to write

Answer:

21°

angles remain the same in dilutions but lengths don't

plss mark me brainliesttt

A 5000​-seat theater has tickets for sale at ​$28 and ​$40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of ​$153,200​?

Answers

Answer:

There are 3,900 tickets of $28 each and 1,100 tickets of $40 each sold.

Step-by-step explanation:

x = the number of $28 tickets

y = the number of $40 tickets

x + y = 5000

28x + 40y = 153200

x = 3,900 tickets

y = 1,100 tickets

IV - SOLVING 1. Find the 7th term in the arithmetic sequence 6, 10, 16, ... Show your solution.​

Answers

Step-by-step explanation:

the distance between 6 and 10 is 4, same distance between 10 to 16 is 6 by the way:

16+8=24

24+10=34

34+12=46

46+14=58 and 58 is 7th term in arithmetic sequence.

I hope it will help you.

Write the first five terms of a sequence that has 8 as its second term.

Answers

Step-by-step explanation:

im kinda busy can I answer your questions later??

Question is in picture

Answers

[tex]|2x|\geq1\\\\2x\ge1 \ \ \text{or} \ \ 2x\leq-1\\\\\huge\boxed{x\geq\frac{1}{2} \ \ \text{or} \ \ x\leq-\frac{1}{2}}[/tex]

A farmer plowed 9/10 of a acre in the morning and 1/2 of an acre in the afternoon. How many acres did the farmer plow in all?

Answers

Answer:

7/5

Step-by-step explanation:

Answer:

1[tex]\frac{2}{5}[/tex] of an acre or 1.4 acres.

Step-by-step explanation:

The least common multiple of 10 and 2 is 10.

Convert [tex]\frac{9}{10}[/tex] and [tex]\frac{1}{2}[/tex] to fractions with a denominator of 10.

[tex]\frac{9}{10}[/tex]+[tex]\frac{5}{10}[/tex]

Since these fractions now have the same denominator, add them by adding the numerators.

[tex]\frac{9+5}{10}[/tex]

Add 9 and 5 to get 14.

[tex]\frac{14}{10}[/tex]

Reduce the fraction to the lowest terms by extracting and canceling out 2.

[tex]\frac{7}{5}[/tex]= [tex]1\frac{2}{5}[/tex] =1.4

hope this helps!

Can I get a bit of help

Answers

she can count the number of row and the number of square in each row, or she can add 6 and 8

Other Questions
Find the slope from the table: 8 1/9 as an improper fraction PLEASE HELP ASAP WILL GIVE BRAINLIEST!!A nursing assistant is assigned to check a patient at 1200 hours. At what time should the nursing assistant check the patient? Omidnight Onoon Oevery twelve hours ok plz help this is my entrance exam question for physics in grade 9 (yes i am moving to a new school again)calculate the POWER of a man who pushes a box with a force of 40 n to move it at a distance of 3 meters in 4 secs plz help susie bought 4 hair bows for 0.50 each which equation shows how to find the total cost in dollars and cents of the hair bows bought explain why the "add a decimal and zero rule" work? Bob is filling his 7000-gallon swimmingpool. His hose fills at a rate of 22.2gallons per minute. To the nearestminute, how long will it take to fill his pool Easy 20 points!. Whats 4 ways to say 11:55 pm in Spanish only if you know the answer. Fill in the missing numbers.dix, vingt, trente,_____ , _____ soixantedouze,______ , trente-deux, quarante-deux, cinquante-deux ______treize,_____,______,quarante-trois, cinquante-troishuit, dix-huit,_______ ,________ , quarante-huittrente et un,_______ , trente-trois, trente-quatre, trente-cinq,_______ the rejected child by Tina bogwu Whats the answer??? Logistic growth is characterized by aA. Straight line B. Undefined curve C. J curve D. S curve I need the awnser for 10 please help What are the factors of production? Which best describes why a liquid needs a container when a solid does not?Solids fill their containers, and liquids have definite shapes.Solids have definite shapes, and liquids fill their containers.Solids particles will expand to fill their containers, and liquid particles will expand as well.Solids particles expand to fill their containers, and liquid particles do not A substance has a density of 3.89 g/mL. Determine the volume, if the mass is 2.58 g. evaluate the expression when g=6 and h=34h-3g Find the solution to the system represented by this matrix 11.The atmosphere or feeling in a literary work is called the:a. conflictb. protagonistc. moodd. text features If you wanted to find out the average temperature in Africa, what kind of map would you use?