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lilavasa [31]
2 years ago
7

Decide whether the equations is a trigonometric function identity, EXPLAIN.

Mathematics
1 answer:
hodyreva [135]2 years ago
7 0

(1) Answer: Identity true

\cos^2x(1+\tan^2x)=\cos^2x(1+\frac{sin^2x}{cos^2x})=\\= \cos^2x\frac{cos^2x+sin^2x}{cos^2x}=1

(2) Answer: Identity true

\sec x \tan x(1-\sin^2x)=\sin x\\\frac{1}{\cos x}\frac{\sin x}{\cos x}(\cos^2x)=\sin x\\\sin x = \sin x


(3) Answer: Identity true

\sin^2(\theta)\csc^2(\theta)=\sin^2(\theta)+\cos^2(\theta)\\\sin^2(\theta)\frac{1}{\sin^2(\theta)}=\sin^2(\theta)+\cos^2(\theta)\\1 = 1


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11B. Long Beach Towing Company charges $40 plus $5 per mile to
gavmur [86]

Answer:

The charges will be the same after 10 miles.

Step-by-step explanation:

Long Beach Towing Company:

Charges $40 plus $5 per mile. So after x miles, the charge will be of:

L(x) = 40 + 5x

Five-Star Towing Company:

Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

F(x) = 70 + 2x

After how many miles the charges for the two companied will be the same?

This is x for which:

L(x) = F(x)

So

40 + 5x = 70 + 2x

5x - 2x = 70 - 40

3x = 30

x = \frac{30}{3}

x = 10

The charges will be the same after 10 miles.

5 0
2 years ago
Isaac is on the 4th floor of a building. If he rides an elevator up 7 floors, what floor will he be on?
Lady_Fox [76]
An integer is a whole number.

1) if Isaac is on the 4th floor and goes up 7, that is 4 + 7= 11. So he is on the 11th floor.

2) the integer representing the floor he is starting on is 4 because that is the whole number associated with "4th."

3) the integer representing how many floors he will rise is 7.

4) the elevator will stop at 11.

Hope this helps! :)
6 0
3 years ago
Read 2 more answers
A type of green paint us made by mixing 2 cups of yellow with 3.5 cups of blue. Find a mixture that will make the same shade of
Softa [21]

Answer:depends on how large. It is still a ratio of 3.5 to 2

Step-by-step explanation: this means if you use 4 green paints then you must use 7 cups of blue to make that same shade of green but two times the size.

5 0
3 years ago
Zoe babysat for x+3 hours yesterday.she earned x-2 dollars per hour.write a polynomial expression that represents the amount Zoe
vekshin1

Answer:

y=3x+2

Step-by-step explanation:


5 0
3 years ago
if the cost price of 10 tables is equal to the selling price of 16 tables , find out the gain or loss percentage​
Dovator [93]

Hi,

To solve this problem, Let us take the LCM of 10 and 16 which will come 80.

Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n

According to the question, CP of 10 tables is equal to the SP of 16 tables, then

the SP of 16 tables will also be ₹ n.

So, SP of 80 tables will be ₹ 5n

So, Loss = CP-SP

→ 8n - 5n = ₹ 3n

Loss%= (3n×100)/8n

Loss%= 37.5%.

Hence the correct answer will be a <u>loss of 37.5%.</u>

4 0
2 years ago
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