Example 15
Prove that
sin 8 -cos 6 +1 - 1
sin 6+cos - 1 sec - tan
9
using the identity
0
sec?
= 1 + tan?
e.

Example 15Prove Thatsin 8 -cos 6 +1 - 1sin 6+cos - 1 Sec - Tan9using The Identity0sec?= 1 + Tan?e.

Answers

Answer 1

cos

(

x

)

+

sin

(

x

)

tan

(

x

)

=

sec

(

x

)

Answer 2

The solution is, the simplified value of the expression is, 1.

To simplify the expression, we need the trigonometric identities given:

we know that,

1. cot=1/tan

2. tan=sin/cos

3. sec=1/cos

so, we have,

cot θ sec θ sin θ = 1/tanθ(1/cosθ)sinθ

                             = (1/(sinθ/cosθ))(1/cosθ)sinθ

                             = (cosθ / sinθ) (1/cosθ)sinθ

                             = 1

The expression is equal to 1.

To learn more about trigonometric relations click :

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Related Questions

A line that includes the points (-2, 9) and (-3, u) has a slope of 3. What is the value of u?

Answers

Answer:o

Step-by-step explanation:i

Geometry work please help!

Answers

Answer:

The value of x is 20A

Step-by-step explanation:

When a line intersects two parallel lines, then some pairs of angles are formed

Alternate interior angles which equal in measuresAlternate exterior angles which equal in measuresCorresponding angles which equal in measuresAdjacent interior angles which are supplementary (the sum of their measures is 180°)

In the given figure

∵ Lines l and m are parallel

∵ They are intersected by a line

∴ The angles of measures (3x + 5)° and 65° are alternate interior angles

→ That means they are equal in measures

∵ Alternate interior angles are equal in measures

(3x + 5)° = 65°

→ Subtract 5 from both sides

∵ 3x + 5 - 5 = 65 - 5

∴ 3x = 60

→ Divide both sides by 3

x = 20

The value of x is 20

Jack wanted to make note cards by cutting pieces of paper in half. Before starting he got two more pieces to use. When he was done he had 24 half-pieces of paper. With how many pieces did he start? A) 11 B) 9 C) 8 D) 10

Answers

Answer:

D) 10

Step-by-step explanation:

We are told in the question:

Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.

Step 1

Divide the number of half pieces by 2 to get the number of whole pieces that was cut

= 24 half pieces/2

= 12 full pieces

Step 2

With how many pieces did he start?

We are told in the question that: Before starting he got two more pieces to use

Hence: The number of pieces he started is calculated as:

12 pieces - 2 pieces

= 10 pieces

Hence, he started with 10 pieces

The roots of the function f(x)=x^2-2x-3 are shown. What is the missing number

Answers

Step-by-step explanation:

[tex]f(x)=x^2-2x-3\\f(x)=(x-3)(x+1)\\x=3,-1[/tex]

Determined an equation for the pictured graph​

Answers

Do u have the app Qanda that could help!!

Plz give me the answers I really need your help. :)

Answers

The answers are

25 envelopes per minute
82 words per minute
27 miles per gallon

Answer:

1. 25 envelopes

2. 82 words per minute

3. 27 Miles per gallon

Step-by-step explanation:

simply fully 2x^2-5x+3 / x^2+5x-6​

Answers

Answer:

did this help

Step-by-step explanation:

Write the simplest polynomial function for each set of zeros

Zeros = 8,-10, 1,


PLEASEEEEE HELPPPPPPPPPP

Answers

9514 1404 393

Answer:

  p(x) = x^3 +x^2 -82x +80

Step-by-step explanation:

If a polynomial function has a zero at x=a, then (x -a) is a factor. Your list of zeros means the factors are ...

  p(x) = (x -8)(x +10)(x -1) . . . . . . . . factored form

When this is multiplied out, it becomes ...

  p(x) = x^3 +x^2 -82x +80 . . . . . . standard form

_____

The factored form can be multiplied out using the distributive property.

  = ((x(x +10) -8(x +10))(x -1)

  = (x^2 +10x -8x -80)(x -1)

  = (x^2 +2x -80)x -(x^2 +2x -80)

  = x^3 +2x^2 -80x -x^2 -2x +80

  = x^3 +x^2 -82x +80

PLEASE HELP !!!! I NEEDA SLEEPP

Answers

Answer:

PQR and VXW

Step-by-step explanation:

Please help !!! I neeed this ASAP please

Answers

I can do a and b for you but im unsure about c and d. I'm sorry :((

a. x = 2  

It is the only point that hits the x axis, thus making it a zero of f(x).

b. substitute 2 for x in the original equation and it should equal 0.

f(x)= x^3 - 2x - 4

f(x)= 2^3 - 2(2) -4

f(x)= 8 - 4 - 4

f(x)= 0

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

The parallel segment divides the 2 sides of the triangle proportionally, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{6}{12}[/tex] ( cross- multiply )

12x = 48 ( divide both sides by 12 )

x = 4

Answer:

Hi

the answer would be:

6/18 = x/x+8 => if you solve the equation, it'll be equal to : x = 4

I hope that it's correct.

Step-by-step explanation:

1.
State the domain and the range for the given relation.
Domain:
Range:

Answers

Answer:

The domain is [-6,6] and the range is [0,6]

Step-by-step explanation:

Remember that the domain is your x-values from left to right and your range is your y-values from down to up.  Since the graph doesn't go outward or onward, we have to put in brackets for each parenthesis because it stops at a specific location in which it is needed when graphing parabolas and other slopes.

help solve this for me i need it ASAP. please send pic in detailed info.

Answers

Answer:

yes

Step-by-step explanation:

y = 5x - 30

if this is wrong just lmk and ill fix it

hope this helps <3

2(3v−5)=2(v−11)−4
what is v?

Answers

Answer:

-4

Step-by-step explanation:

1.  6v-10=2v-22-4

2.  4v-10=-26

3. 4v=-16

4.  v=-4

Equivalen
Select two ratios that are equivalent to 27:9.

Answers

Answer:

3:1      &     54:18

Step-by-step explanation:

Answer: 9:3 and 3:1

Step-by-step explanation:

Glad I could help!

-3/10 divided by -4/5

Answers

-0.015

hope it helps

have a great day

Need help please thanks

Answers

Answer:

Use an app called Cymath it tells you the answer and it shows you step by step on how to work it out. I used the app multiple times and it helps me a lot!

Step-by-step explanation:

Hope I helped! :)

Which statement about proteins is TRUE?
A) You cannot consume complete proteins if you eat a vegetarian diet.
B) Animal products like meat and dairy provide complete proteins.
C) Beans provide all the amino acids the body needs.
D) During digestion, your body combines proteins to make amino acids.

Answers

Answer:

The answer is

A.) Animal products like meat and dairy provide complete proteins.

Hope this helps! Have a great day :)

Step-by-step explanation:

HELP PLS WILL GIVE BRAINLIEST i feel like the answer is either a or b but im too indecisive so idkkk D: pls help and explain, thank you

Answers

Answer: it’s C

Step-by-step explanation: ^

Answer:

the domain of f(x) is x > 0

Step-by-step explanation:

mark brainliest

6 G
[tex]21x4[/tex]
what is it? brainiest to to who gets it​

Answers

Answer:

21 x 4 is 84

Step-by-step explanation:

6G (sixth-generation wireless) is the successor to 5G cellular technology -- 6G networks will be able to use higher frequencies than 5G networks and provide substantially higher capacity and much lower latency.

I need help pronto!!!

Answers

Answer:

wELL.. Im no expert BUTTTTTTTTT....that would mean that there is no cherry pies (i think)

Step-by-step explanation:

Answer:

Buddy should have given Trudy c +3 apple pies and c cherry pies

Step-by-step explanation:

Trudy orders 3 more apple pies than c cherry pies

which means that Trudy orders:

c cherry pies

and c+3 apple pies

But Buddy gives him c cherry and c-3 apple

plzz help

find value of following : 2sin75°.cos15°​

Answers

Answer:

[tex]\frac{2+\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Using the product to sum formula

sinxcosy = [tex]\frac{1}{2}[/tex] [ sin(x + y) + sin(x - y) ] , then

2sinxcosy = sin(x + y) + sin(x - y)

Given

2sin75°cos15° ← with x = 75 and y = 15 , then

= sin(75 + 15) + sin(75 - 15)

= sin90° + sin60°

= 1 + [tex]\frac{\sqrt{3} }{2}[/tex]

= [tex]\frac{2+\sqrt{3} }{2}[/tex]

A meerkat was digging a new path to get to his home 8 ft below the surface. He hit a stump and dug 15 ft lower so the roots would not be in his path. What elevation is the meerkat?

Answers

Answer:

The elevation is [tex]32.3^{o}[/tex].

Step-by-step explanation:

The home of the meerkat is 8 feet below the surface. So that the root of the stump would not be in his path, he dug 15 feet lower.

This can be represented by the sides of a right angled triangle. Applying the appropriate trigonometric function, let the elevation be represented by θ.

Then,

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{8}{15}[/tex]

Sin θ = 0.5333

⇒ θ = [tex]Sin^{-1}[/tex] 0.5333

      = 32.287

θ = [tex]32.3^{o}[/tex]

The elevation of the meerkat is [tex]32.3^{o}[/tex].

what is the answer to the question?​

Answers

Step-by-step explanation:

Since AD bisects BC,

BD = DC.

Therefore 5x - 10 = 3x + 10 and x = 10.

Answer:

The value of x is 10.

Step-by-step explanation:

BD =CD

Which means

5x - 10 = 3x + 10

Let's solve.

[tex]5x - 10 = 3x + 10 \\ \frac{ - 3x \: \: \: \: \: = - 3x \: \: \: \: \: }{2x - 10 = 10} \\ \\ 2x - 10 = 10 \\ \frac{ \: \: \: \: \: \: \: \: \: + 10 = + 10}{2x = 20} \\ \\ \frac{2x}{2} = \frac{20}{2} \\ \\ x = 10[/tex]

Therefore, x = 10.

the spring in a toy rocket launcher has a spring constant of 44 N/m. how far must you compress the spring to cause it to exert a force of 8 N?

Answers

Answer:

0.18 m for A P E X

Using the English alphabet. which consists of 21 consonants and 5 vowels, how many three-letter arrangements can be made in which the first letter is a consonant, the second letter is a vowel and the third letter is a consonant

Answers

Answer:

They are plenty

Step-by-step explanation:

Answer:

2205

Step-by-step explanation:

Letter 1 is a consent, so there are 21 choices for the letter (all 21 consonants).

Letter 2 is a vowel, so there are 5 choices (all 5 vowels).

Letter 3 is a consent so there are 21 choices (all 21 consonants).

One would have to do 21 * 5 * 21 to find the number of combinations which fit these criterias.

21 * 5 * 21

= 2205

This is disregarding all the other rules of English grammer and word strucutre, so the total amount of combinations that can be found would include nosensical words. The total number of words would also include repeating consonants, so a consonant can appear twice in a combination, and some combinations might repeat.

Please help me out!!!!!

Answers

Answer:

Take f(x) to be 4x^3-5x^2-4x-4Take g(x) to be 5x^2+xThen proceed to do f(x)/g(x)Perform synthetic or long division (which ever is your preferred method) Your remainder will be whatever is left over at the end of the division and the quotient will be the first variables.

Jamaal writes 1/8 page in 1/4 of a minute. How much time will it take Jamaal to write a full page?

Answers

Answer: 2 minutes

Step-by-step explanation:

1/8 multiplied by 4 twice

Plz help asappppp I’ll give brainliest

Answers

Answer: c I think

Step-by-step explanation:

Select the correct answer. Which point satisfies the system of equations y= 3x - 2 and y= -2x + 3? ​

Answers

Answer:

y= 3x - 2 has a slope of three n the graph pic will be below

y= -2x + 3 has a slope of -2 n the graph pic will be below

Step-by-step explanation:

I hope this is what you were looking for and I hope it helps you!

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