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lesantik [10]
3 years ago
10

Prove that -- sec^2ø-tan^2ø=1

Mathematics
1 answer:
Tema [17]3 years ago
7 0

Hello from MrBillDoesMath!

 

Answer:

See discussion below

Discussion:

sec(@) = 1/cos(@)

and

tan(@) = sin(@)/ cos(@)

so the equation in the Question is equivalent to

( 1/ (cos^2(@) )  - ( sin^2(@) / cos^2(@) )

Combine the two terms over the like denominator cos^2(@):

( 1 - sin^2(@) )   /  (cos^2(@) )


But as sin^2(@) + cos^2(@) = 1,  1 - sin^2(@) = cos^2(@). Using this the above equation becomes o

(cos^2(@))  /  ((cos^2(@))  = 1    


This proves the result.



Thank you,

MrB

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What decimal number is equivalent to 45%
denpristay [2]

Answer:

0.45

here's your solution

=>. percent = divided by 100

=> so, 45% = 45/100

=> 9/20

= > 0.45

hope it helps

5 0
3 years ago
Please help look at the picture
k0ka [10]

Answer:

y = - 5x - 1

Step-by-step explanation:

The first thing to do (always) is pay attention to x =0. That at least gives you a partial answer. y = y' - 1. when you put 0 in for whatever y' is you get 0. What about the other numbers? How did they come about.

We have another clue. Whenever you put in a positive number for x, you get a negative answer for y. That's interesting. So y' has a minus sign associated with it.

y = -ax - 1    Make a>0 so there is only 1 minus sign. x cannot have an even power, because an even power would make everything positive except the -1.  

So we'll start with y= - ax - 1 We'll also make the assumption that a = 1

y = - x - 1 That won't work. a >1 otherwise x = 2 won't give - 11

y = -ax - 1

let x = 2

let y = - 11 Solve for a

y = - ax - 1

- 11 = -a*-2 - 1       add   1  to both sides

-11 + 1 = - a(-2) - 1 + 1

- 10 = -2a             Divide by - 2

- 10/-2 = -2a/-2

a = 5

Answer: y = - 5x - 1

8 0
2 years ago
A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?
Vanyuwa [196]
60 min = 1 hr 

3/4 * 60 = mph  (miles per hour)

3/4 * 60 = 45

The speed of the car in mph (miles per hour) 

will be 45 mph

Answer = 45mph

Thank you for posting your question on Brainly!

We hope we can help you in the future!

As always I hope you have a great day!
8 0
3 years ago
Read 2 more answers
Darla is taking a survey at her school. She finds that 20 out of 100 students have fish as pets. This means that her experimenta
Arisa [49]

Answer:

The second option

Step-by-step explanation:

This is because the more samples she has, the closer her experimental probability will be to the real value.

6 0
3 years ago
What is 0.019 written as a percent?<br><br> A. 0.00019% <br> B. 0.019%<br> C. 0.19% <br> D. 1.9%
Lesechka [4]
The correct option is d
7 0
3 years ago
Read 2 more answers
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