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2 years ago

Explain why you cannot square each side of the equation when verifying a trigonometric identity.

2 answers:

8 0

This is because when we do verification of an identity, we must work separately on both sides, and to see in the end if we can get an equality. Because if we square both sides, that already means that we assume that the equality exist in the beginning, so no need to verify the identity.

Vlad1618 [11]2 years ago

8 0

Answer:

While we are proving or verifying a trigonometric identity, we do not need to square each side of the equation.

This is so because if we are squaring each side of the equation, It means that the identity already exists and there is nothing to prove then.

So, we can only take one side and manipulate it or solve in such a way to reach a expression which is equivalent to the other. But we cannot square the both sides simultaneously because we don't know whether the identity holds or not, We are just verifying it whether it is true or not.

Hence, If we square each side of the equation then there is no use of proving or verifying the identity,

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Which statements correctly describe the cosine and sine functions? Check all that apply. The cosine function increases on (90°,

Jet001 [13]

Answer:

The three correct answers are B "The sine function increases on (0°, 90°) and (270°, 360°)." , E "Both the cosine and sine functions have a maximum value of 1.", and F "Both the cosine and sine functions are periodic."

Step-by-step explanation:

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4 0

2 years ago

Sara is the recipient of a trust that will pay her $500 on the first day of each month, starting immediately and continuing for

shusha [124]

Answer:

The value of this inheritance is $78,192.28

Step-by-step explanation:

The monthly payments Sara will receive starting today for next 40 years is $500.

Annual Interest Rate = 7.3%

Monthly Interest Rate = Annual Interest Rate/12

=7.3/12

Monthly Interest Rate = 0.6083%

Present Value = $500 + $500/1.006083 + $500/1.006083^2 + $500/1.006083^3 + ... + $500/1.006083^479

Present Value = $500 * 1.006083 * (1 - (1/1.006083)^480) / 0.006083

Present Value = $500 * 156.39156

Present Value = $78,192.28

Thus, the value of this inheritance is $78,192.28

3 0

2 years ago

Suppose that the concentration of a bacteria sample is 100000 bacteria per milliliter. If the concentration doubles every 2 hour

Aliun [14]

Answer:

3.85 hours

Step-by-step explanation:

We have that the model equation in this case would be of the following type, being "and" the concentration of bacteria:

y = a * e ^ (b * t)

where a and b are constants and t is time.

We know that when the time is 0, we know that there are 100,000 bacteria, therefore:

100000 = a * e ^ (b * 0)

100000 = a * 1

a = 100000

they tell us that when the time is 2 hours, the amount doubles, that is:

200000 = a * e ^ (b * 2)

already knowing that a equals 100,000

e ^ (b * 2) = 2

b * 2 = ln 2

b = (ln 2) / 2

b = 0.3465

Having the value of the constants, we will calculate the value of the time when there are 380000, that is:

380000 = 100000 * (e ^ 0.3465 * t)

3.8 = e ^ 0.3465 * t

ln 3.8 = 0.3465 * t

t = 1.335 / 0.3465

t = 3.85

That is to say that in order to reach this concentration 3.85 hours must pass

4 0

2 years ago

Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. Explain how you can set up a diagram to find the or

Rasek [7]

Answer:

SAMPLE RESPONSE( The diagram should have five columns, one for each 25% and one for the total, because 25% is 1

of 100%. It should have 2 rows, 1 for percents and 1 for dollar amounts.

Step-by-step explanation:

Edg2020

8 0

2 years ago

Read 2 more answers

2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.

vova2212 [387]

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

$a_1 = 2.8$

$a_2 = 3.4$

Common difference = $a_2 - a_1 = 3.4 - 2.8 = 0.6$ .

Expression for the nth term:

$a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n$

n = 50 for the fiftieth term. Therefore

$a_{50} = 2.2 + 0.6 \times 50 = 32.2$ .

6 0

2 years ago