MATHEMATICS HIGH SCHOOL

Review the incomplete derivation of the cosine sum identity.A 2-column table with 5 rows. Column 1 has entries step 1, step 2, step 3, step 4, step 5. Column 2 has entries cosine (x + y), sine (StartFraction pi Over 2 EndFraction minus (x + y) ), blank, sine (StartFraction pi Over 2 EndFraction minus x) cosine (negative y) + cosine (StartFraction pi Over 2 EndFraction minus x) sine (negative y), blank.

Which expressions for Step 3 and Step 5 complete the derivation?

Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) + y )
Step 5: cos(x)cos(y) – sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) + sin(x)sin(y)
Step 3: Sine ( (StartFraction pi over 2 EndFraction minus x) minus y )
Step 5: cos(x)cos(y) – sin(x)sin(y)

Answers

Answer 1

Answer:

Answer:

Option (4)

Step-by-step explanation:

STEP - 1

cos(x + y)

STEP - 2

$\text{sin}[(\pi)/(2)-(x+y)]$

STEP - 3

$\text{sin}[((\pi)/(2)-x)-y]$

STEP - 4

$\text{sin}((\pi)/(2)-x)\text{cos}(-y)+\text{cos}((\pi)/(2)-x)\text{sin}(-y)$

STEP - 5

cos(x)cos(y) - sin(x)sin(y)

[Since, $\text{sin}((\pi)/(2)-x)=cos(x)$ and $\text{cos}((\pi)/(2)-x)=\text{sin}(x)$ ]

[Since, cos(-x) = cos(x) and sin(-x) = -sin(x)]

Therefore, Option (4) will be the correct option.

Answer 2

Answer:

Answer:

Step-by-step explanation:

Top Answer was right, don't know why it was rated poorly

Related Questions

When Frederick was born, his grandparents gave him a gift of 2000, which was invested at an interest rate of 5% per year, compounded yearly. How much money will Frederick have when he collects the money at the age of 18? Give your answer to the nearest hundredth of a dollar.
Polygon ABCD will be dilated by a factor of 2 to produce polygon A′B′C′D′. The origin is the center of dilation. Which point will not represent a vertex on polygon A′B′C′D′ ?
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Is this right? isn't the Directly proportional equation this. x=(1/k)y
The first row of a section in a stadium has 10 seats. The second row has 11 seats. The third row has 12 seats. This pattern continues and the section has 24 rows.How many seats are in this section?

Use the following figure to answer the question.When line t is perpendicular to both line l and line m, then lines l and m are parallel.

True
False

Answers

The answer would be true

Answer: True

Hope this helps.

4x+3y = 21 2x+ y= help stuck

Answers

If x and y were equal then you would do 21/7 and that is 3 so x=3 and y=3 so if you do the second one then 6+3=9. So the answer is 9

This answer is done through substitution.
Use 2x+y = 0
y = -2x
Now, use this y value and substitute in the 1st equation
4x + 3 (-2x) = 21
4x + -6x = 21
-2x = 21
x = - 21/2
x= -10.5
Now, use this value into 1st equation again to find y
4(-10.5) + 3y = 21
-42 + 3y = 21
3y = 21 + 42
3y = 63
y=63/3
y=21
Use this and the value of X we got above to substitute in the 2nd equation.
2 (-10.5) + 21
=-21 + 21 = 0
The answer is zero.

If you want to keep the fraction and not use a decimal, you can do so from the previous steps. Still you will get the same answer.

Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. He calculates that the extra money he pays in additional interest each year, if invested at the rate of 2% for one year, could earn him simple interest totaling $180. How much does Benson pay in additional interest each month?

Answers

Given:
Interest = 180
term = 1 year
Interest rate = 2%

We need to get the principal amount using the simple interest formula.

Interest = Principal * interest rate * term
180 = P * 2% * 1
180 / 2% = P
9,000 = Principal

Benson pays an additional interest of 9,000 each year. A monthly payment of 750.

9,000 / 12 months = 750 per month.

Based on the amount that Benson could earn if he invested the additional interest for one year, the additional interest per month is $750.

What additional interest is Benson paying?

This can be found by the formula:

= (Simple interest amount earned / Number of months in year) / Simple interest rate

Solving gives:

= (180 / 12) / 0.02

= 15 / 0.02

= $750

Find out more on additional interest at brainly.com/question/27037531.

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Identify vertex and y-intercept of graph of function y= -3(x+2)^2+5

Answers

Hello,

Vertex=(-2,5)
x=0==>y=-3(0+2)²+5=-7

Cost A=0.6489

take the inverse cosine of both sides

Answers

I am not quite sure what the question asks for,
But this is what i assume it wants:

Cos A= 0.6489
In this given one, we basically find the size of the angle A
we do cosine inverse on both sides to get the size of the angle A
$cos^(-1)$ : It looks like this in the calculator
$cos^(-1)$ × cos A= $cos^(-1)$ (0.6489)
( $cos^(-1)$ and cos cancels out)
A= $cos^(-1)$ (0.6489)
A=49.54°
check:
cos 49.54=0.6489 (its right!)

The calculation of property tax is based on the

Answers

The property tax is typically based on how much the property was worth when it was bought. so if your sales price was 130,000 it would go up by whatever the percentage is that is in that state or even county.