Verify that sec^2 xsin^2 x = tan^2 x

Answers

Answer 1

Here's the solution,

[tex] \sec {}^{2} (x) \times \sin {}^{2} (x) = \tan {}^{2} (x) [/tex]

[tex] \dfrac{1}{ \cos {}^{2} (x) } \times \sin {}^{2} (x) = \tan {}^{2} (x) [/tex]

[tex] \dfrac{ \sin {}^{2} (x) }{ \cos {}^{2} (x) } = \tan {}^{2} (x) [/tex]

[tex] \tan {}^{2} (x) = \tan {}^{2} ( { {x}^{} }^{} ) [/tex]

Related Questions

Find x.
Round to the nearest tenth:
28°
350 ft
y
x = [ ? ]ft

Answers

Answer:

745.5 ft

Step-by-step explanation:

Reference angle (θ) = angle of depression = angle of elevation = 28° (alternate angles are congruent)

Opposite side = 350 ft

Hypotenuse = x

Apply the trigonometric function, SOH:

Sin θ = Opp/Hyp

Sin 28° = 350/x

x = 350/Sin 28

x = 745.5 ft (nearest tenth)

What is the difference of the whole number and the mixed number below? 9-3 3/4 A. 5 1/4 B. 6 1/4 C. 6 3/4 D. 5 3/4

Answers

Answer:

A

Step-by-step explanation:

Pls help me I beg u I need help with the red ones

Answers

Answer:

  see below

Step-by-step explanation:

You want the ingredient quantities for several different multiples of the basic recipe.

Table Values

To fill the table, consider what the column heading is as a multiple of the recipe for 12 people. Use that multiplier for the rest of the numbers in the column.

  [tex]\begin{array}{ccccc}\text{12 people}&\times2&\times3&\times\dfrac{1}{3}&\times\dfrac{1}{2\vphantom{g_g}}\\\cline{1-5}1\text{ cup}&2&3&\dfrac{1\vphantom{b^b}}{3\vphantom{g_g}}&\dfrac{1}{2}\\3\text{ cups}&6&9&1&1\dfrac{1}{2}\\2\text{ cups}&4&6&\dfrac{2}{3\vphantom{_g}}&1\\\dfrac{1}{2}\text{ cup}&1&1\dfrac{1}{2}&\dfrac{1}{6}&\dfrac{1\vphantom{^b}}{4\vphantom{_g}}\\1\dfrac{\vphantom{^b}1}{3}&2\dfrac{2}{3}&4&\dfrac{4}{9}&\dfrac{2}{3}\end{array}[/tex]

Please help solve (No Link Please!!!)

There is 283 5/8 gal of liquid fertilizer in a fertilizer
application tank. After applying 178 2/3 gal to a soybean
field, the farmer requests that a local farm supply company deliver an additional 250 gal to the tank. How many gallons of fertilizer are in the tank after the delivery?

Answers

Answer:

354 23/24 gallons

Step-by-step explanation:

283 5/8 can be rewritten as 283 15/24

and 178 2/3 can be rewritten as 178 16/24

we do this to subtract the numbers easily.

we get 104 23/24

104 23/25 + an additional 250 gal = 354 23/24

Why do people trust brainly to give a right answer?

Answers

Answer:

Because most of the times they can learn from their answers and the answers are correct.

Step-by-step explanation:

Circle has a radius of 4 and the center is (-4,-8) what is the equation of the circle if I double the radius

Answers

9514 1404 393

Answer:

  (x +4)^2 +(y +8)^2 = 64

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The circle centered at (h, k) = (-4, -8) with radius 8 has equation ...

  (x +4)^2 +(y +8)^2 = 64

Kyra drove to visit her friend. She traveled 113 miles in 5\frac{2}{7} hours. What was her average speed? Write your answer as a mixed number using a space and the division symbol. Example 2 1/2

Answers

232 fhdbsid is asvgsbsbdd

Help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Method 1 = 8.75

method 2 = 12.16

Hope this helped gll

Step-by-step explanation:

A bag contains 9 tiles, each with a different number from 1 - 9. You chose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order?

Someone pls explain this. I know the answer is 1/504 but how do you get there?

Answers

The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation and is equal to 1/504.

What are permutations?

Permutations refer to the arrangements of objects in certain order or way.

The number of alternative arrangements in a set can be calculated mathematically using a permutation where the order of the configurations is important.

The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation.

The probability is obtained as 1 / ₉P₃

where;

₉P₃ = 9! / (9 - 3)!

₉P₃ = 9! / 6!

9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

6! = 6 * 5 * 4 * 3 * 2 * 1

₉P₃ = 504

Hence, the probability = 1/504

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The number that appears in the middle of an organized set of data from least to greatest
A) Mean
B) Median
C) Mode
D) Range

I'll give brainliestttt ​

Answers

The answer is median

Answer:

Median

Step-by-step explanation:

Have a good day ^^

what is

20x + 30x ( 23 - ( -9)

Answers

The answer is 980x. Good luck!
Thee answer is 980x.

A piece of stained glass art forms a half circle. The part labeled a is green. What is the measure of angle a?

This is angles.

Answers

Answer:

40

Yea. Hope this helps? Adios

Answer:

40

Step-by-step explanation:

if this is what I'm sorry I'm not very good at math

Evaluate the expression 4 x (9 ÷ 3) + 6 − 2 using PEMDAS. (4 points)

Group of answer choices

27

24

16

11

Answers

4 x (9/3) + 6 - 2
4 x (3) + 6-2
12+6-2
16
Final answer =16

The correct answer is option c) 16.

4 x (9 ÷ 3 ) + 6 - 2

Define simplification?

Simplification can define as exicute the operations according to the mathematical operators.

4 x (9 ÷ 3 ) + 6 - 2
by PEMDAS

Bracket solved 1 st
than division further mortification, addition and substraction.

4 x (3 ) + 6 - 2
12 + 6 - 2
= 16

Thus the required value of simplification is 16.

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1) Use your own words to explain the following terms:
function,
domain, range vertical line test.

Answers

TERMS

Function: A function is a mathematical relationship between two sets of values, where each element in the first set (called the domain) is related to exactly one element in the second set (called the range). A function can be represented by a formula, equation, or graph, and it describes how one set of values is related to another.

Domain: In a function, the domain is the set of all possible values that can be used as input for the function. It is the set of values that the function operates on.

Range: In a function, the range is the set of all possible values that can be produced as output by the function. It is the set of values that the function produces as a result of operating on the domain.

Vertical line test: The vertical line test is a method used to determine whether a graph represents a function.

Hope This Helps You!

If p is true and q is true, then ^p — ^ ~ q is true.

Answers

Answer:

okey???????????????????????? p and q is true got it.

Answer:

wat?

Step-by-step explanation:

Find two numbers which have a sum of 132 and that can be written as the simplified
ratio 3:8

Answers

Answer:

96 and 36

Step-by-step explanation:

3+8 = 11

132/11 = 12

so:

12 x 3 = 36

12 x 8 = 96

Please answer these question(s)! It has to do with math statistics. I will give you brainliest and thanks! Please answer my other questions!

Answers

Answer:

3

Step-by-step explanation:

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAINLIEST AND 5 STAR AND THANKS

Answers

Answer:

it  wont let me put any numbers down, it keeps saying they're improper

Step-by-step explanation:


If the value of "y" varies directly with "X"
and y = -8 when x = 20, find "y" if x = -4.

Answers

Answer:

y=kx

-8=k20

-8/20=20k/20

k=-0.4

y=-4×-0.4

y=1.6

In the following equation, which part is the difference?
200 - 150 = 50
200
50
150

Answers

9514 1404 393

Answer:

  50

Step-by-step explanation:

The attachment shows the vocabulary associated with a subtraction equation.

In your equation, the difference is 50.

Help if you know how to do this! I’d really appreciate it!

Answers

The value of x is 20 and the value of y is 8 from the given quadrilaterals.

What is a Congruent Polygon?

The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.

Given that, ABCD≅EFGH

We know that, corresponding parts of congruent polygon are equal.

Now, (4y-4)°=28°

4y=32

y=8

(10x-65)°=135°

10x=200

x=20

Therefore, the value of x is 20 and the value of y is 8 from the given quadrilaterals.

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Net income in a property is 40000 and cap rate is 10% value of property using the income capitalization method

Answers

The current value of property is 4000

What is the capitalization rate?

The capitalization rate (also known as cap rate) is used in the world of commercial real estate to indicate the rate of return that is expected to be generated on a real estate investment property. Formula: Capitalization Rate = Net Operating Income / Current Market Value

Given here cap rate as 10% and income as 40000, Thus Current market value of property is = 40000/10

                                 =4000

Hence, The current value of property is 4000

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Which of the following equations represent linear functions? select all that apply

Responses

3x+5y=1

y= -9/x2(2 is an exponent)

y=x2(2 is an exponent)-7

y=1/x
will give brainliest for whoever answers correctly and quickly

Answers

3x+5y=1
When you put this into slope intercept form you should get a linear function. For the second and third, it has exponents so it can’t be linear and the last one also isn’t linear

Hey need some help, pretty desperate so please help thank you <3

Answers

Answer:

Hello!

answer x = 46

z = 24

y = 14

please help me out asap ​

Answers

Answer:

[tex] {(x + 5)}^{2} - {x}^{2} \\ {x }^{2} + 10x + 25 - {x}^{2} \\ 10x + 25 \\ 5(2x + 5)[/tex]

Pleaseee
True or False?
a) a line contains 2 points
b) a plane does not contain 3pts not all one line
c) Through any 2 points, exactly 1 line exists
d) If 2 planes intersect, their intersection is a point

Answers

The answer would be D)

2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5

A=2,B=1/2 and C=0

A=1,B=0 and C = 5

O A=1/4,B=3/4 and C=0

Answers

Answer:the third one

Step-by-step explanation:

9. Lisa bought h shares of Home Depot stock for x dollars per share. She sold all of the
shares years later for y dollars per share. Express her capital gain algebraically.

Answers

Answer:

(hy)-(hx)=P

Step-by-step explanation: to get the total price of stock you multiply the cost of one share by how many shares were bought. After being sold years later they made a profit, you must subtract the total cost from this profit to find the total profit.

PLEASE HELP 30 POINTS

Answers

The answer is No!! I hope this helps, have a wonderful day!

Answer:

A) yes, both functions are inverses of each other.

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[tex]hope ~ it ~ helps\\\\have ~ a ~ great ~day!![/tex]

Ifn(r'ns')+ n(r'ns)=3 n(r n s) = 4 & n(s'nr)= 7 find n(u).

Answers

Answer:

  14

Step-by-step explanation:

You want to know the size of the universal set if ...

n(r'∩s') +n(r'∩s) = 3n(r∩s) = 4n(s'∩r) = 7

Universe

The given sets are mutually exclusive and exhaustive, so the sum of their sizes is the size of the universal set:

  n(u) = 3 + 4 + 7

  n(u) = 14

__

Additional comment

  (r'∩s') ∪ (r'∩s) = r'∩(s' ∪ s) = r' . . . . n(r') = 3

  (r∩s) ∪ (r∩s') = r∩(s ∪ s') = r . . . . . . n(r) = 4 +7 = 11

Then r' ∪ r = u, the universal set.  . . . . n(u) = 3 +11 = 14

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