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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 is 0.25 of twelve inches<br> Pls help ASAP
Bas_tet [7]

Answer:3

Step-by-step explanation:

12/4 = 3

4 0
3 years ago
Jonathan buys two baseball bats for $43 each they are on sale for 45% off he also bought a glove that was originally priced at 2
vladimir2022 [97]

Hi There!

-----------------------------------------------------

Baseball Bats:

43 x 0.45 = $19.35 as the amount off.

43 - 19.35 = $23.65 with the discount.

23.65 x 2 = $47.3 for two bats.

-----------------------------------------------------

Glove:

28 x 0.25 = $7 as the amount off.

28 - 7 = $21 with the discount.

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Together:

21 + 47.3 = $68.3 as the total before taxes.

-----------------------------------------------------

With Taxes:

68.3 x 0.055 = $3.7565 as the tax amount.

68.3 - 3.7565 = $64.5435

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Answer:

Not Rounded: $64.5435

Rounded: $64.54

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Hope This Helps :)

3 0
3 years ago
Solve the equation below. x-5÷2=2x+4÷6​
wel

That should help you with your question

7 0
3 years ago
-
ollegr [7]

Answer:

x = 2

y = -3

z = 4

( 2 , -3, 4 )

Step-by-step explanation:

x + y + z = 3 ---- i

x – y =5 ---- ii

y - z = -7 ---- iii

ii + iii

x - z = -2 ---- iv

i + ii

2x + z = 8 --- v

iv + v

3x = 6

x = 2

x=2 substitute for v

z = 4

x =2 substitute for ii

y = -3

5 0
3 years ago
Josiah traveled 79.5 miles on 3 gallons of gasoline. At this rate, how many gallons of gasoline would he need to travel 265 mile
BigorU [14]
Josiah would need 10 gallons to travel 265 miles.

First we divide 79.5 by 3 to find out how many gallons are needed for one mile.

79.5/3=26.5

For one mile we need 26.5 gallons of gas.

Now we will divide 265 by 26.5 to find the answer to the problem.

265/26.5=10

Josiah will need 10 gallons of gas to travel 265 miles
7 0
3 years ago
Read 2 more answers
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