prove that: sin×sec=tan

Answers

Answer 1

[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]


Related Questions

find the missing side lengths answers are in simplest radical form with the denominator rationalized​

Answers

Answer: Choice C

Explanation:

For any 30-60-90 triangle, the short leg is half of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.

So this means n = 10/2 = 5

Because n = 5, there's only one answer choice that fits and it's choice C.

toán 11!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

[tex]thr \: httr \: \: gr \: ujj \: tu \: \: fmgt[/tex]

Đây ạ!!!!!!!!!!!!!!!

Can someone please help me?

Answers

Answer:I’m not sure

Step-by-step explanation: try and use the scientific demos

I’m very confused abt this question: Look at the pic for clarification.

Answers

Answer:

8A

Step-by-step explanation:

We are multiplying the matrix by a scalar

Each term in the first matrix is multiplied by 2

[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]

Factor out 2

[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]

We know that the determinant of a matrix when multiplied by a scalar is found by

det ( a A) =a^n * det (A)

The scalar in this case is 2  and n is the number of rows ( or columns) since the matrix must be square

 det (2A) = 2^3 det(A)  = 8A

Answer:

(A)

Step-by-step explanation:

Factor the 2 out and do 2/1=x/A

X=2A

Which function has a double root of 3 and a double root of -2

Answers

C………………………. ……………. …………….

Will give Brainliest!!

Jocelyn eats 5 gummy worms today. Each day she eats one more than the day before. How many gummy worms in all will she have eaten by the end of Day 32?

Answers

Answer:

Jocelyn will have eaten 620 (which is way too much) by the end of day 32.

Step-by-step explanation:

First find out all the numbers that have to be added.

5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35

Then, Add.

5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35

= 620

Jocelyn ate 620 gummy worms by the end of the 32nd day.

Thank YOu! Please mark me brainliest!

Answer:

656

Step-by-step explanation:

i took the test

Determine the intercepts of the line.

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Answer:

y-intercept = -55

x-intercept =25

Step-by-step explanation:

I know how to do this

please please jhelp me....​

Answers

Answer:

2·v - (u + w) = (5, 0, -10)

Step-by-step explanation:

The given values of the vectors are;

u = (2, -1, 3), v = (4, 0, -2), and w = (1, 1, 3)

The required vector is 2·v - (u + w)

2 × v = 2 × (4, 0, -2) = (8, 0, -4)

(u + w) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)

Therefore;

2·v - (u + w) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)

2·v - (u + w) = (5, 0, -10)

if f(x)=3(x+5)+4/x, what is f(a+2)

Answers

The answer is g(x)= x+2^2

ASAP 10 POINTS
Using the same application you used in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise. Finally, translate it down to 2 units. What is the relationship between the original line segment and the transformed line segment? If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?

Answers

It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.

Also No effect as we assumed rotation is being with respect to origin.

Finally, translate it down to 2 units.

Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2

find the missing side. Round it to the nearest tenth.​

Answers

Final Answer: 82.2

formula used: a² + b² = c²

a = 66

b = 49

c = x

Solution:

66² + 49² = x²  (note: 66² = 66 × 66 = 4,356 and 49² = 49 × 49 = 2,401)

4,356 + 2,401 = x²

[tex]\sqrt{6,757}[/tex] = [tex]\sqrt{x^2}[/tex]

82.201 = x

rounded to the nearest tenth: 82.2

hope this helps, let me know if its incorrect or not

have a great day ;)

Joshua buys a $6000 car on the following terms:
30% deposit
• monthly repayments of $210 for 2 years.
Find:
a) the deposit paid.

Answers

6,000 x .30 = $1,800 deposit paid

Need help on this activity!!

In this activity, you will rearrange and solve a rational equation and find and use the inverse of a rational equation.

As we’ve seen, for a circuit with two resistors arranged in parallel, we can calculate the total resistance in the circuit, , in ohms, with this equation.

Question 1
Part A
Question
Rewrite the equation to represent the resistance of resistor 2, , in terms of and .

Answers

Answer:

My best guess rn is the first option

Step-by-step explanation:

the last dude had it close but it was basically flipped as you can tell.

The answer is (C) [tex]R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

We need to make [tex]R_2[/tex] the subject of the formula [tex]R_T=\frac{R_1R_2}{R_1+R_2}[/tex]

First remove the denominator by multiplying both sides by the binomial [tex](R_1+R_2)[/tex]

[tex]R_T\times (R_1+R_2)=\frac{R_1R_2}{R_1+R_2}\times(R_1+R_2)\\\\R_TR_1+R_TR_2=R_1R_2[/tex]

Arrange all terms containing [tex]R_2[/tex] on one side

[tex]R_1R_2-R_TR_2=R_TR_1[/tex]

Factor out [tex]R_2[/tex] from the LHS

[tex]R_2(R_1-R_T)=R_TR_1[/tex]

Finally, divide both sides by the binomial [tex](R_1-R_T)[/tex] to leave [tex]R_2[/tex]

[tex]R_2(R_1-R_T)\times\frac{1}{(R_1-R_T)}=R_TR_1\times\frac{1}{(R_1-R_T)}\\\\R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

Learn more about change of subject of formula here: https://brainly.com/question/343660

The area of a triangle is one-half times the base times the height. If the area of a
triangle is 54 sq. in, and its height is 12 in., what is the base?

Answers

Answer:

Step-by-step explanation:

You already know the formula for area of a triangle, so we will write it down and then fill it in with the info given.

[tex]A=\frac{1}{2}bh[/tex] and filling in:

[tex]54=\frac{1}{2}b(12)[/tex] and we can simplify that a bit by dividing 12 by 2 on the right side to get:

54 = 6b and dividing:

b = 9 inches

Which of the points does not lie on the line y=x^2

Answers

Answer:

y does not lie on the point x^2 lie

Answer:

[tex]\large \green{ \boxed{\boxed{\begin{array}{cc} \maltese \: \bf \: (\frac{3}{2}, \frac{9}{2} ) \: dose \: not \: lie \\ \\ \bf \: on \: the \: curve \: \: \end{array}}}}[/tex]

Do any one of them, please help needed​

Answers

Answer:

a = -3

Step-by-step explanation:

f(x) = 5x³+4x²+3x-4a

f(-1) = 8

therefore , x = -1

substituting x = -1 in 5x³ + 4x² +3x-4a

5(-1)³ + 4(-1)² + 3(-1) - 4a. = 8

-5 + 4 -3 - 4a = 8

-8 + 4 -4a = 8

-4 - 4a = 8

shifting -4 from LHS to RHS

-4a = 8+4

-4a = 12

[tex] - a = \frac{12}{4} [/tex]

therefore

-a = 3

a = -3

ANS = the value of a = -3

if you r having any queries please comment down and make it brainlist answer if you liked it and hit a like too!!!!!!

can someone help me out with this 10 points and brainliest

Answers

Answer:

the first difference are all 20. (increases by 20 per week)

since the first differences of this relation are constant, it is a linear relation

need help asap today by 5

Answers

Answer:

I put a photo of the answers.

Step-by-step explanation:

For the problems, I turned the whole under into a fraction, flipped the second fraction and multiplied.

*(30 points)* One pump can fill a tank of water in 2 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?

Answers

The first pump fills one tank in 2 hours, so it works at a unit rate of (1 tank)/(2 hours) = 0.5 tanks/hour.

The second pump takes 3 hours to fill the same tank, so it works at a rate of (1 tank)/(3 hours) ≈ 0.33 tanks/hour.

Working together, the pumps can fill one tank at a rate of

(1/2 + 1/3) tanks/hour = (3/6 + 2/6) tanks/hour = 5/6 tanks/hour ≈ 0.83 tanks/hour

Then the time it takes both pumps to fill one tank is

(1 tank) / (5/6 tanks/hour) = 6/5 hours = 1.2 hours = 72 minutes

How do I solve this

Answers

Step-by-step explanation:

subtracting equation i from it got cropped

so the answer for x is 7 and y is -17

hope this helps. :)

I need the answer to this

Answers

Answer:

C

Step-by-step explanation:

it is rewritten in the form of 60/(2^x)

The answer to your question is C.

82,92,76,72,92,74,80 and 78
What is the median

Answers

Step-by-step explanation/answer:

Order the numbers from least to greatest!

72, 74, 76, 78, 80, 82, 92, 92

Then calculate the median

First off, What is a median?

The median would be the middle number in the set of numbers

In this case the median would be 79 but let me explain

72, 74, 76, 78, 80, 82, 92, 92,

We cross out every small and greater number from this set until you are left with a number in the set

Thus, the only two left numbers are 78 and 80

Therefore we have to add 78 and 80 then divided by 2

Answer: 79

Answer:

Step-by-step explanation:

we have 8 choises   8  its even number so

we can write 8= 2*4

X=4 ss the answear between the fiveth  and sixeth choise  72+92/2 AND YOU WILL FIND THE ANSWEAR

2axy-4a^2xy^2+6a^3x^2

Answers

Answer:

2ax(y-2ay^2+3a^2x)

Step-by-step explanation:

2axy-4a^2xy^2+6a^3x^2

Given data

we have the following expression

2axy-4a^2xy^2+6a^3x^2

let us factor this expression

we have

2ax(y-2ay^2+3a^2x)

The common factor is 2ax

And the factorized expression is 2ax(y-2ay^2+3a^2x)

instruction Find m<LMN​

Answers

Answer:

∠ LMN = 70°

Step-by-step explanation:

The tangent- secant angle LMN is half the difference of the measures of the intercepted arcs, that is

∠ LMN = [tex]\frac{1}{2}[/tex] (NK - NL) = [tex]\frac{1}{2}[/tex] (210 - 70)° = [tex]\frac{1}{2}[/tex] × 140° = 70°

In the diagram below ABE = 65° and DĈF = 32º. E- B 650 D 32°C A F Calculate the size of EBC​

Answers

Step-by-step explanation:

lol wea is the diagram??

Solve (x + 3)2 – 5 = 0 using the quadratic formula.

Answers

Answer:

Step-by-step explanation:

(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab

x²+9 +6x -5 =0 , combine like terms

x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a

x= (-6 ±√6²-4*1*4)/2*1

x= (-6 ± √36-16) /2

x= (-6±√20)/2

x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify

x= -3 +√5 and x= -3 -√5

need help with this!!

Answers

Answer:

The answer is B..... The corresponding is the identical number between all

The is 7 in each...

Solve the equation using the zero-product property.

(2x − 8)(7x + 5) = 0

Answers

Answer:

x=4and -5/7

Step-by-step explanation:

i hope it will be easy

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation}\downarrow[/tex]

[tex]\large\textsf{(2x - 8)(7x + 5) = 0}[/tex]

[tex]\large\text{Step-by-Step}\downarrow[/tex]

[tex]\large\text{SIMPLIFY EACH SIDES OF THE EQUATION}[/tex]

[tex]\large\textsf{14x}\mathsf{^2} \large\textsf{ - 14x - 40 = 0}[/tex]

[tex]\large\text{FACTOR the LEFT SIDE of the EQUATION}[/tex]

[tex]\large\textsf{2 (7x + 5) (x - 4) = 0}[/tex]

[tex]\large\text{SET the FACTORS to EQUAL 0}[/tex]

[tex]\large\textsf{7x + 5 = 0 OR x - 4 = 0}[/tex]

[tex]\large\text{SIMPLIFY BOTH OF YOUR EQUATIONS \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \bf x = }\mathsf{\bf - \dfrac{5}{7}\large\textsf{ \bf or x = 4}}}} \huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

what is 20(y)+2(x) if y=2 and x=9


btw this is me

Answers

Answer: 20(y)+2(x) = 20(2) + 2(9) = 40 + 18 = 58

Answer:

58

Step-by-step explanation:

If y=20 and X=9, then the equation=20 × 2 + 2 ×9= 40 + 18=58.

A saleslady is paid a commission of 3% on goods worth over 100,000 and a salary 11,000 .If she had a20% salary increase and total earnings of 22,200. Calculate the total amount received from sales

Answers

Answer:

I am not sure on the answer but i think its $9,000

Step-by-step explanation:

11,000x0.20=2,200

2,200+11,000=13,200

22,200-13,200=9,000

which would mean she got $9,000 from commissions.

if you did 100,000x0.03=3,000

9,000/3,000= 3

so she would have had 3 commissions worth over 100,000

Other Questions
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