1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLEGan [10]
2 years ago
10

Verify: sec^2x+tan^2x=2sec^2x-1

Mathematics
1 answer:
Jlenok [28]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Using the identity

tan²x = sec²x - 1

Consider left side

sec²x + tan²x

= sec²x + sec²x - 1

= 2sec²x - 1

= right side , thus verified

You might be interested in
write an expression that represents the number of square feet of wallpaper you will need if the height of the family room is x f
elena-14-01-66 [18.8K]
<h3>Given</h3>
  • room height is x feet
  • room length is 3x feet
  • room width is 3x feet
  • a door 3 ft wide by 7 ft tall
<h3>Find</h3>
  • The net area of the wall, excluding the door
<h3>Solution</h3>

The area of the wall, including the door, is the room perimeter multiplied by the height of the room. The room perimeter is the sum of the lengths of the four walls.

... gross wall area = (3x +3x +3x +3x)·x = 12x²

The area of the door is the product of its height and width.

... door area = (7 t)×(3 ft) = 21 ft²

Then the net wall area, exclusive of the door is ...

... net wall area = gross wall area - door area

... net wall area = 12x² -21 . . . . square feet

5 0
3 years ago
Ali was swimming along the bottom of his backyard pool at a depth of 6 feet then he pushed off the bottom and rose 4 feet what i
olga nikolaevna [1]

Answer:

2 feets

Step-by-step explanation:

Given that :

Alli's Initial depth = 6 feets

Number of feets in which Alli rose = 4 feets

Alli's new position relative to the surface of the pool:

Difference of Alli's initial depth and feets risen :

6 feets - 4 feets = 2 feets

Hence, Alli is now 2 feets below the surface of the pool.

7 0
3 years ago
What is the slope of the line that passes through the points (9, -1) and (4, -11)?
mixas84 [53]

Answer:

2

Step-by-step explanation:

We have two points so we can find the slope

m = ( y2-y1)/(x2-x1)

    = ( -11 - -1)/( 4 -9)

    = (-11+1)/( 4-9)

    -10/ -5

   = 2

4 0
2 years ago
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 4
Eddi Din [679]

Answer:

We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.

Sam and Bruno were computing how many kilometers.

Also one kilometer equals 0.621 miles.

From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.

In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.

We always divide a larger value by a smaller value to get the smaller unit.

Therefore,

Bruno is correct. When going from a larger unit to a smaller unit you need to divide.

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get u a better answer.

<em>-Have a great day! :)</em>

4 0
3 years ago
Marie plants flowers in a planter that is 1 1/2 feet long and 1 2/3 feet wide. She plans to cover the entire area with fertilize
Arisa [49]

Answer:

2 3/6

Step-by-step explanation:

You must turn 1 2/3 and 1 1/2 into improper fractions. You then multiply them and get an answer of 15/6, but since 6 can go into 15 twice (6x2=12+3=15), you get a whole of 2 and 3/6.


5 0
2 years ago
Other questions:
  • How do i find the volume of a sphere radius 1/2
    10·1 answer
  • Solve for x: one over eight (8x + 15) = 24
    12·2 answers
  • 2) A bike tire has a radius of 11 inches. If the tire spins 6 times, what distance does
    8·1 answer
  • What is the method to the problem
    13·1 answer
  • (1 point) If the joint density function of X and Y is f(x,y)=c(x2−y2)e−2x, with 0≤x&lt;∞ and −x≤y≤x, find each of the following.
    11·1 answer
  • 4x- 2y = 8<br> 2x + y =2
    7·1 answer
  • What is the location of point A on the number line?
    6·1 answer
  • Draw a vertical line through a normal distribution for
    9·1 answer
  • I need an explanation to this
    12·2 answers
  • 3x + 3 = 6 + 6. solve for x
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!