Mathematics High School

tan²A -cot²A = sec²A(1-cot²).Trigonometic Identity​

Answers

Answer 1

your proving is in photo

TanA -cotA = SecA(1-cot).Trigonometic Identity

Related Questions

What is the discriminate?

Answers

so it’s basically asking for the difference

The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was x dollars?

Answers

Answer:

The value of the car will be x - (0.15)x after a year.

Step-by-step explanation:

The car was 15% more when it first came out, and the price went down by 15% after a year.

Therefore, to solve this problem, we need to multiply 0.15 by the initial cost, which will tell you how much the car price decreased.

Then, we need to subtract this amount from x, or the initial cost, in order to find how much the car will be worth after a year.

Therefore, the value of the car will be x - (0.15)x after a year.

Hope this helps! :D

Can someone explain to me how to get the answer:

-3 |2d| = 12

Answers

-3×2d=12

-6d=12

d=12÷(-6)

then d= -2

Hope this helps.

It is 49,280 yards from Topeka to Tonko. How many miles
is this?

Answers

Answer:

Step-by-step explanation:

1 yard = 0.000568 miles

49280 yards = 28 miles

1 mile = 1,760 yards

Divide total feet by 1760

49,280 / 1760 = 28 miles.

Which expression is equal to the expression below?
(7•2)^7



A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7​

Answers

Answer:

c

Step-by-step explanation:

B is the correct answer

brainliest if correct1+1​

Answers

Answer:

11

Step-by-step explanation:

:>

Answer:

1+1=2 is the answer

Step-by-step explanation:

mark me as brainlist

Help me please!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

that symbol means <= which means x is less than OR equal to  5/2

What is the value of 7 in 46.897

Answers

Answer:

If your asking its place value its Thousandths

Step-by-step explanation:

.1 is tenths

.01 is hundredths

.001 is thousandths

Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 < x <4
-4 < x < 0
D)
4 < x < 12

Answers

Answer:

C) 4 < x < 12

Did i do it correctly? if no please give the explanation and answer! :):):)

Answers

Answer:

yeah man good job im proud

Step-by-step explanation:

Answer:

You did a very good jod

Step-by-step explanation:

Hope this helped have an amazing day!

factor -1/6 out of -1/3x + 5/6y

Answers

Answer:

[tex]\frac{-1}{6}[/tex] [tex](2x-5y)[/tex]

Step-by-step explanation:

Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?

Answers

Answer: (h)q^3

Step-by-step explanation:

Please help! 20 points and I’ll give Brainliest
Joe is tracking the progress of his plants growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.

A. Write a linear model (equation) that represents the height of the plant after d days

B. What will the height of the plant be after 20 days

Answers

A. y=1.5d+5
B. 35 cm high

Answer:

A. y=1.5d+5

B. 35 cm high

Step-by-step explanation:

hope this helps

2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large
cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each
type did she sell?

Answers

Answer:

[tex]\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}[/tex]

Step-by-step explanation:

Let's make a system of equations.

First, define the variables.

Let s= small cups and g= large cups

Next, make 2 equations. 1 for the money and 1 for the number of cups.

Money

A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265. 1.25s+2.50g=265

Number

A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155. s+g=155

Here is our system of equations:

[tex]1.25s+2.50g=265 \\s+g=155[/tex]

Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.

Subtract g from both sides of the equation. s+g=155 s+g-g=155-gs=155-g

Now we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.

[tex]1.25s +2.50g=265[/tex]

[tex]1.25(155-g)+2.50g=265[/tex]

Distribute the 1.25

1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g

[tex]193.75-1.25g+2.50g=265[/tex]

Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.

[tex]193.75-1.25g+2.50g=265-193.75[/tex]       (Subtract 193.75)

[tex]-1.25g+2.50g=265-193.75[/tex]      

[tex]1.25g=71.25[/tex]      (Combine like terms).

1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25

[tex]1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57[/tex]

Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.

[tex]s+g=155[/tex]

[tex]s+57=155[/tex]

Subtract 57 from both sides of the equation to isolate the variable, s.

[tex]s+57-57=155-57\\s=155-57\\s=98[/tex]

Ashley sold 57 large cups and 98 small cups.

small cup she sold = x = 98

large cup she sold = y =57

Multiply the two binomials 6x - 5 and 2x + 3 and write your answer in
simplified terms

Answers

Answer:

x = 2

Step-by-step explanation:

6x + -5 = 2x + 3

-5 + 6x = 2x + 3

-5 + 6x = 3 + 2x

-5 + 6x + -2x = 3 + 2x + -2x

-5 + 4x = 3 + 2x + -2x

-5 + 4x = 3 + 0

-5 + 4x = 3

-5 + 5 + 4x = 3 + 5

0 + 4x = 3 + 5

4x = 3 + 5

4x = 8

x = 2

2. Re-write the equation in slope-intercept form
y + 4 = -2(x + 3)

Answers

the correct answer:

y=-2x-10

explanation:


Yyhhjfffghjjgdrttyhhhftthvfrtgvfffgf

Answers

Answer: So the star equals 4 and the triangle equals 1

Step-by-step explanation:

Answer:
(4,1)

Explanation:
Stars = 4
Triangles =1

Solve each system to find the answer

Answers

Given:

The system of equations is

[tex]5g+4k=10[/tex]

[tex]-3g-5k=7[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]5g+4k=10[/tex]        ...(i)

[tex]-3g-5k=7[/tex]         ..(ii)

Multiply (i) by 5 and (ii) by 4.

[tex]25g+20k=50[/tex]        ...(iii)

[tex]-12g-20k=28[/tex]         ..(iv)

Adding (iii) and (iv), we get

[tex]25g-12g=50+28[/tex]

[tex]13g=78[/tex]

Divide both sides by 13.

[tex]g=\dfrac{78}{13}[/tex]

[tex]g=6[/tex]

Put g=6 in (i).

[tex]5(6)+4k=10[/tex]

[tex]30+4k=10[/tex]

[tex]4k=10-30[/tex]

[tex]4k=-20[/tex]

Divide both sides by 4.

[tex]k=-5[/tex]

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.

Based on the scatter plot below, what is the most likely value for "Pounds of Apples" when "Number of Apples" is 80?

A. 42
B. 81
C. 158
D. 398

Help me quickly please!!!

Answers

Answer:

c hope this help

Step-by-step explanation:

Answer:

It’s A. 42

Step-by-step explanation:

PLS I NEED HELP ASAP

Answers

Answer:

Answer C

.....,.................

Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.

Answers

Answer:

Average (additional) income = 100 - 50/x

Step-by-step explanation:

Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands

Ryan's additional average income = Income / Quantity of watches sold

(100x - 50) / x

= 100 - 50/x

1. Dominic earned $23.00 at the local
supermarket moving boxes for 2 hours. If
his pay rate stays the same, how much
would he earn in 6.5 hours?

Answers

Answer:

70.5

Step-by-step explanation:

11.sınıf temel düzey matematik geometri :(

Answers

Step-by-step explanation:

öklid kurali var uygularsak:

(3 kök 5 ) ^(2)=X.(X+4)45= X(X+4) buradan X = 5 Cevap B seçeneği BAŞARILAR...

Which equation represents a linear function? (5 points)

Equation 1: y3 = 2x + 1
Equation 2: y = 3x + 1
Equation 3: y = 5x2 − 1
Equation 4: y = 4x4 − 1

Answers

Answer :

y = 3x + 1

Explanation:
Answer: 2 - y =3x + 1

find the equation of the line . PLEASE HELP

Answers

Y=1/2x-3............

5. The price of a new gym bag is $37.00 plus 8% sales tax. What is the sales tax on this gym
bag in dollars and cents?

Answers

Answer:

$25.00 which is $24.50

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): Dot was discarded near "x.s".

(2): "37." was replaced by "(37/1)".

Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

Answers

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

(0.2a + 0.15b) = 100.5a - b = 30

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

(0.2a + 0.15b) = 100.5 - - - - - (1)

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

a - b = 30 - - - - - (2)

The system of equations required to determine the amount of drink A and B made are :

(0.2a + 0.15b) = 100.5a - b = 30

Learn more : https://brainly.com/question/20379472?referrer=searchResults

Matt gets $0.10 every 2 days
How much does he get in 6 days?

Answers

Answer:

$0.30

Step-by-step explanation:

2 days = $0.10

6 days = [tex]\frac{6}{2}[/tex] × $0.10

           = $0.30

Use the sine rule to calculate BC :)

Answers

Answer:

BC≈12.2

Step-by-step explanation:

As we know

24/sin(100°)=BC/sin(30°)

BC=sin(30°)×24/sin(100°)

BC=1/2×24/sin(100°)

BC=12/sin(100°)

BC=12.2 (approximately)

Answer:

BC≈12.2

Step-by-step explanation:

Hope this helped have an amazing day!

The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s

(
m
/
s
)
.
When
s
=
30
,
P
=
1500
.
Work out the speed (to 1 DP) when the power is
1715
watts

Answers

Answer:

scooby-dooby-doooby-dooooby-doooooby-D000000000000000000000000000000Step-by-step explanation:

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