Sec x -tan x sin x =1/secx

Help me prove it

Answers

Answer 1

Answer:

L.H.S. = [tex]\frac{1}{cosx} -\frac{sinx}{cosx}sinx[/tex]

= [tex]\frac{1}{cosx} - \frac{sin^2x}{cosx}[/tex]

= [tex]\frac{1-sin^x}{cosx} = \frac{cos^2x}{cos x}[/tex]

= cos x = 1/secx

Answer 2

Step-by-step explanation:

Hey there!

Given;

sec x - tan x . sin x = 1/(sec x).

~ Taking LHS.

= sec x - tan x . sin x

= 1/(cos x) - (sin x/cos x) . sin x { Using formula sec x = 1/cos x and tan x = (sin x/cos x)}

~ Multiply (sin x) and (sin x).

[tex] = \frac{1 - { (\sin(x) )}^{2} }{ \cos(x) } [/tex]

~ Use formula 1-sin²x= cos²x

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

~ Cancel cos x.

= cos x

= 1/sec x { cos x = 1/sec x}

→ RHS proved.

Hope it helps.....


Related Questions

Below are four different advertisements at four different stores for the same jeans. JL Fashion Mart Tops, Bottoms, and More Boy's Jeans Regular Price: $16 Sale Price: 20% off each Boy's Jeans Regular Price: $27 Coupon: Buy 2, get 1 free Clothing Outlet We Sell Everything Boy's Jeans Regular Price: $20 Coupon: Buy 1, get 1 for $1 Boy's Jeans Regular Price: $25.99 Sale Price: Rebate of $5 each Mr. Marks is shopping for three pairs of jeans for his son. If he buys exactly 3 pairs of jeans, which store will give the greatest cost savings? A. JL Fashion Mart

Answers

Answer: JL Mart

Step-by-step explanation:

Determine whether the figures are similar.

Answers

Answer:

you don't have enough information, you would need one of the long lengths on the smaller parallelogram to determine similarity

Step-by-step explanation:

probably not enough info, have a good day!! stay safe

helpppppppppppppppppppppppppppppppp

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Answers

Answer:

12.5%

Step-by-step explanation:

I do not know how to answers any of these questions please help me ❤️ pt. 2

Answers

answer for number 18 is square!

Help plsss I have 10 minutes!!!!20 points!!!!

Answers

Answer:

its d

Step-by-step explanation:

it’s d the answer is d

13.
How much voltage would be necessary to generate 20 amps of current in a circuit that has 5.5
ohms of resistance?

Answers

Answer:

110 volts

Step-by-step explanation:

V=I×R

V=20×5.5

V=110 volts


If (x +1, y + 2) =(3, 4), find x and y.

Answers

Answer:

equating the correspondings

x+1=3

x=3-1

x=2

then,

y+2=4

y=4-2

y=2

Answer:

uuuunnnnññnnñnnnnnñnnnnñnnnñnnnnñ

I do my self o11

How many fewer 14 starfish are there than 16 jellyfish and 4 sharks

Answers

Answer:

6 fewer starfish

Step-by-step explanation:

16+4=20

20-14=6

6 fewer starfish are there.

(4,15)
(8,9) find the slope

Answers

Answer:  The slope is -3/2

Step-by-step explanation:

To find the slope, find the difference in the y coordinates and divide it by the difference in the x coordinates.

y coordinates;   9 - 15 = -6

x coordinates : 8 - 4 = 4  

Slope:     -6/4  =   -3/2

Answer:

[tex]\frac{15-9}{4-8}= \frac{6}{-4} = -\frac{3}{2}[/tex]

Find the slope of the line that passes
through these two points.
(-2, 1); (3, 2)

Answers

Answer:

1/5

Step-by-step explanation:

as 2-1/3-(-2)

Equals 1/5

Bryan wants to buy a new pair of jeans. If the jeans were originally $45.00, but are on sale with a 20% discount, how much will Bryan have to pay for the jeans?

Answers

Answer:

20% of 45= 9 so you would subtract 9 from 45 getting you 39

Step-by-step explanation:

45-9=39 he would have to pay $39

Pls help need answers fast

Answers

Answer:

1. 11-y=-9

2. 41+w=26

3. r÷6=-4

4. 18(p)=54 or 18×p=54

5. Yes V= -52

6. Yes Z= -3

7. No would equal 43

8. No T would equal positive 6.

9. B

10. C

11. D

12. A

Need help for dis question what is it ??

Answers

Answer:

2 * 16 - 4*(3 + 5) = 32 - 32 = 0

Step-by-step explanation:

Hello again. Can someone please help me with this as well. I'll give 100 points!

Answers

Answer: Come on, don’t people learn these things in school!

Step-by-step explanation:

Answer:

C. y ≤ 0

D. 18 bags of chips and 6 jars of salsa

Step-by-step explanation:

It is C because, it is over the x axis and it covers all the negative y's.

__________________________________________________________

2.5x + 4y ≤ 60

2.5(10) + 4(2) ≤ 60

25 + 8 ≤ 60

33 ≤ 60

It fits so A doesn't work

2.5x + 4y ≤ 60

2.5(20) + 4(2) ≤ 60

50 + 8 ≤ 60

58 ≤ 60

It fits so B doesn't work

2.5x + 4y ≤ 60

2.5(14) + 4(5) ≤ 60

35 + 20 ≤ 60

55 ≤ 60

It fits so C doesn't work

2.5x + 4y ≤ 60

2.5(18) + 4(6) ≤ 60

45 + 24 ≤ 69

It doesn't fit therefore, your answer would be D. 18 bags of chips and 6 jars of salsa.

Select all the intervals where f is decreasing

Answers

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did it on khan

I neeed help with middle school math

Answers

Multiple different forms in the picture attached - for these problems use Math-way is super easy
First is the exact form

Answer:

22/5*8/3

176/15

yep that's it

I think..

13 is 5% of what number?

Answers

The answer to your question is 260

Answer: 260

Step-by-step explanation:

Find the gradient of the line segment between the points (1,-2) and (-2,10).​

Answers

Given:

A line segment is between the points (1,-2) and (-2,10).​

To find:

The gradient of the given line segment.

Solution:

We know that gradient of the given line segment means slope of the line segment.

The line segment between the points (1,-2) and (-2,10).​ So, slope of the line segment is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]

[tex]m=\dfrac{10+2}{-3}[/tex]

[tex]m=\dfrac{12}{-3}[/tex]

[tex]m=-4[/tex]

Therefore, the gradient of the given line segment is -4.

A box weighs 3.2 pounds. The box contains packs of crayons, which each weigh .5 pounds. The total weight of the box and the crayons is 10.7 pounds. How many packs of crayons are in the box

Answers

Answer: 15 packs of crayons

Pls help urgently extra points and mark brainlist

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

3 one 8 in a row of 8

Step-by-step explanation:

find the slope thanks​

Answers

17) undefined slope/no slope
18) 1/4
19 -4/5
20) -1

Find the IQR of the data set
1,1,3,4,4,5,5,5,6,7,9

Answers

Answer: 3

Step-by-step explanation:

Sorry if it’s wrong I haven’t done this in a long time

Which is the fraction for 33%

Answers

33% in fraction is 33/100.

Please mark as brainliest ~

1/3 is the answer, Yw

Please help me with this question

Answers

Answer:

11/4

29/6

32/5

Step-by-step explanation:

Answer: 11/4, 29/6, 32/5

Step-by-step explanation:

This is going to help trust me

Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 19 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Samuel, Lisa, and Andrew are chosen

Answers

Answer: the probability that I, Samuel Lisa and Andrew are chosen is 0.0003

Step-by-step explanation:

Given that;

Number of 4 employees are to be chosen from 19 of them;

so Number of ways to choose 4 employees from 19 employees = ?

we know that;

c(n,r) = [tex]\left[\begin{array}{ccc}n\\r\end{array}\right][/tex] = n! / ( r!(n-r)!)

so we substitute

c(19,4) = [tex]\left[\begin{array}{ccc}19\\4\end{array}\right][/tex] = 19! / ( 4!( 19-4 )!) = 3876

so the probability that I, Samuel Lisa and Andrew are chosen will be;

⇒ 1 / 3876 = 0.0002579 ≈ 0.0003

the probability that I, Samuel Lisa and Andrew are chosen is 0.0003

the price of some medication was increased from $8 to $12. By what percentage was the price of the medicine increased ?​

Answers

I believe it’s 50% because you divide 8/2 and that’s 4, and 4+8=12

Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

your answer is 46

Step-by-step explanation:

i did maths lol

mark me brainliest

2x+3y=5x-y
Complete the missing value in the solution to the equation.

Answers

Answer:

Ur answer is in the screenshot :)  

Step-by-step explanation:

1. Subtract 2x2x from both sides. 3y=5x-y-2x

3y=5x−y−2x

2. Simplify  5x-y-2x5x−y−2x  to  3x-y3x−y.

3y=3x-y

3. Add yy to both sides.3y+y=3x

3y+y=3x

4. Simplify  3y+y3y+y  to  4y4y. 4y=3x

4y=3x

5. Divide both sides by 33.\frac{4y}{3}=x34y=x

6. Switch sides.x=\frac{4y}{3}

x= 34y! Hope this helped!! :))

A town has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
What’s the answer?

Answers

Answer:

6.5

Step-by-step explanation:

Answer:

y≈15840

Step-by-step explanation:

Exponential Functions:

a=starting value = 14000

r=rate = 2.5%=0.025

Exponential Growth:

b=1+r=1+0.025=1.025

Write Exponential Function:

put it all together-

y=14000(1.025)^x

Plug in time for x:

y=14000(1.025)  ^5

Evaluate-

y=15839.71498

round-

y≈15840

If Sally had six balls and Mark had seven how many balls did he have in all

Answers

Step-by-step explanation:

he had 7 balls

hope he healthy that's a lot of balls to have

Answer:

13 i think 6+7 = 13 yeh yeh

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